During the 2023-24 academic year the School will have a special program on the p -adic arithmetic geometry, organized by Jacob Lurie and Bhargav Bhatt, who will be the Distinguished Visiting Professor.

The last decade has witnessed some remarkable foundational advances in p-adic arithmetic geometry (e.g., the creation of perfectoid geometry and the ensuing reorganization of p-adic Hodge theory). These advances have already led to breakthroughs in multiple different areas of mathematics (e.g., significant progress in the Langlands program and the resolution of multiple long-standing conjectures in commutative algebra), have uncovered new phenomena that merit further investigation (e.g., the discovery of new structures on algebraic K-theory, new period spaces in p-adic analytic geometry, and new bounds on torsion in singular cohomology), and have made hitherto inaccessible terrains more habitable (e.g., birational geometry in mixed characteristic). This special year intends to bring together a mix of people interested in various facets of the subject, with an eye towards sharing ideas and questions across fields.

The purpose of this lecture series is to introduce the audience to basic ideas of specific areas of contemporary pure mathematics. Each lecture shall present an area: where it comes from, where it currently is, where it goes. Lectures will be given by prominent mathematicians twice a year: in the Spring and in the Autumn. Before and after each lecture we will organize reading seminars to prepare the audience for the lecture and to dig further into the topic of the lecture. With the lecturer’s consent, lectures will be recorded, slides and/or lecture notes will be provided if available.

This conference aims to bring together graduate students interested in geometry and topology, to give graduate students the opportunity to give talks, and to establish connections among students in the field.

Most of the talks will be given by graduate students, but there will also be three distinguished plenary lectures:

Julie Bergner (University of Virginia)

Ciprian Manolescu (Stanford University)

Gábor Székelyhidi (Northwestern University)

and six lectures by early-career faculty speakers:

Carolyn Abbott (Brandeis University) Anthony Conway (The University of Texas at Austin)

Iva Halacheva (Northeastern University)

Antoine Song (California Institute of Technology)

Iris Yoon (Wesleyan University)

Allen Yuan (Institute for Advanced Study/Northwestern University)

The conference website can be found here: https://sites.google.com/view/gstgc2024msu/home

Registration is now open. For those applying for funding or proposing a talk, the deadline of registration is January 15, 2024 (March 30, 2024 for those who are not). Please stay tuned for further updates and details regarding this exciting event!

One day conference on Number Theory in the Front Range featuring invited speakers and short talks by graduate students.

The 2nd International Mathematics and Statistics Student Research Symposium (IMSSRS) will be held on Saturday, April 13, 2024. IMSSRS is a free conference welcoming ALL high school, community college, undergraduate, and graduate students to present their mathematics and statistics research, explore current research topics, and connect with like-minded enthusiasts. Abstract submission and registration deadlines are on March 22.

While presenters must be students, all are welcome to attend. Visit the event website for more details and share the experience with fellow students and colleagues.

WINGs 2024 is the fourth instalment of an annual retreat for women, and other underrepresented genders, in number theory and geometry. It is aimed at early career mathematicians, from PhD onwards. Events will include talks from our eight keynote speakers, a career panel which will also feature participants from industry, social activities, to encourage interaction between participants, and short talks, so that participants can learn about each other’s research interests. Our aim is to counteract the isolation which can be experienced by women and other underrepresented genders in mathematics during their career by fostering a sense of community from the start.

This semester-long program in geometric analysis will focus mostly on complex geometry and Kähler geometry, but with the occasional excursion into real geometry. While the inspiration has deep geometrical roots, the tools are to a large degree those of partial differential equations. A lot of the activity will centre on six workshops:

PDEs in Complex Geometry (April 15-19, 2024)

Special Riemannian Metrics in Dimensions 6,7,8 (April 22-26, 2024)

Analysis of Geometric Singularities (May 13-17, 2024)

Moduli Spaces and Singularities (May 20-24, 2024)

Current Trends in Kähler Metrics with Special Curvature Properties (June 17-21, 2024)

Current Trends in Geometric Flows (June 25-29, 2024)

There will be a significant portion of the term and its resources devoted to training. Apart from resources set aside for students to attend the workshops, the semester will coordinate with the Séminaire de Mathématiques Supérieures (SMS). This school, a Montreal tradition, has been providing high-level training for graduate students since 1960, with some of the very top leaders in the field as lecturers.

We think that the 2024 SMS will be no exception. The topic is:

Flows and Variational Methods in Riemannian and Complex Geometry: Classical and Modern Methods (June 3-14, 2024).

This is the eighth edition of the annual mini simposio of the Roman Number Theory Association, Invited speakers include

• Ramla Abdellatif, Université de Picardie Jules Verne

• Margaret Bilu, Université de Bordeaux

• Stephanie Chan, Institute of Science and Technology Austria

• Francesc Fite, Universitat de Barcelona

• Andrew Granville, Université de Montréal

• Mattias Jonsson, University of Michigan

• Samuel Le Fourn, Université Grenoble Les Alpes

• Aaron Levin, Michigan State University

• Jared Duker Lichtman, Stanford University

• Davide Lombardo, Università di Pisa

• Laura Paladino, Università della Calabria

• Sarah Peluse, University of Michigan

• John Voight, Dartmouth College

• Jan Vonk, Universiteit Leiden

This extraordinary occasion will commemorate the inauguration of the Merkin Center with a series of engaging public lectures and talks tailored for a diverse audience, showcasing the elegance of pure and applied mathematics.

This conference centers around the mathematical contributions and interests of Hélène Esnault. It aims at bringing together mathematicians with diverse backgrounds, providing a platform to exchange their ideas and foster new collaborations.

CAAGTUS aims to improve contacts and foster collaborations among researchers in Commutative Algebra and Algebraic Geometry located in Arizona and its neighboring states. Its main purposes are to stimulate new directions of research, to provide opportunities to junior researchers to share their work, and to provide a venue for networking and collaboration in the southwest.

Please contact [email protected] if you have any questions.

The aim of the present conference is to gather mathematicians working in Algebra, Geometry, Topology, and Mathematical Physics. It will cover new foundational works on higher algebra together with its applications.

This conference is the closing event the project ANR « Higher Algebra, Geometry, and Topology », which structures the French community working on these topics.

Confirmed speakers

Alexander BERGLUND (University of Stockholm), Luciana BONATTO (Max Planck Institute for Mathematics Bonn), Basil CORON (Université de Strasbourg/Queen Mary), Berenice DELCROIX-OGER (Université de Montpellier), Coline EMPRIN (Université Sorbonne Paris Nord), Chiara ESPOSITO (University of Salerno), Bernhard KELLER (Université Paris Cité), Guillaume LAPLANTE-ANFOSSI (University of Melbourse), Florian NAEF (Trinity College Dublin), Joost NUITEN (Université de Toulouse), Dan PETERSEN (University of Stockholm), Marcy ROBERTSON (University of Melbourne), Victor ROCA LUCIO (EPFL), Sergey SHADRIN (University of Amsterdam), Andrea SOLOTAR (University of Buenos Aires & Guangdong Technion), Anna SOPENA (Universitat de Barcelona), Christine VESPA (Aix-Marseille Université), Ben WARD (Bowling Green State University).

This conference is devoted to the areas of L-functions and autmorphic forms. In particular, it focusses on the interactions between both fields, which have a long and fruitful history since the fundamental work by Hecke about 90 years ago. The topics will focus on new developments around the areas indicated in the title, as well as establishing and furthering dialogue on new developments at the boundary of these areas. Given the ubiquity of automorphic forms throughout number theory as well as their strong interaction with the field of L-functions, it is very reasonable to expect that both areas will benefit from each other in the future as well. It is likely that this would lead to ideas more broadly useful in other areas of pure mathematics as well as to new types of objects to inspect and new structural questions within both fields.

In the 1980s, Ceresa exhibited one of the first naturally occurring examples of an algebraic cycle, the Ceresa cycle, that is in general homologically trivial but algebraically nontrivial. In the last few years, there has been a renewed interest in the Ceresa cycle, and other cycle classes associated to curves over arithmetically interesting fields, and their interactions with analytic, combinatorial, and arithmetic properties of those curves. We hope to capitalize on this momentum to bring together different communities of arithmetic geometers to fully explore explicit computations around the arithmetic and geometry of cycles, when these various approaches are systematically combined.

Registration is open, and March 17 is the deadline to request funding.

The speakers are:

Ian Agol (UC Berkeley)

Thomas Barthelmé (Queens University)

Danny Calegari (University of Chicago)

Nathan Dunfield (University of Illinois Urbana-Champaign)

David Gabai (Princeton University)

Ying Hu (University of Nebraska Omaha)

Beibei Liu (Ohio State University)

Anna Parlak (UC Davis)

Samuel Taylor (Temple University)

Chi Cheuk Tsang (Université du Québec à Montréal)

Mehdi Yazdi (Kings College London)

In addition to these lectures there will be 2 lightning talk sessions and a panel discussion on issues faced by early career mathematicians.

Organizers: Steven Frankel (Washington University), Michael Landry (St. Louis University), Rachel Roberts (Washington University)

In a rapidly changing world, understanding the intricate relationships between climate and ecosystems has become more critical than ever. The “Climate-Inclusive Ecosystem Modeling: Understanding the Dynamics of Ecosystems in a Changing World (CIEM-24)” conference seeks to bring together researchers, scientists and stakeholders to explore and discuss cutting-edge approaches in modeling ecosystems, taking into account the profound influence of climate factors. The conference aims to address a wide range of topics, including theoretical ecology, ordinary and partial differential equations, autonomous and non-autonomous dynamical systems, multi-scale modelling, stochastic systems, among others, providing a comprehensive understanding of how climate change affects ecosystems and how ecosystem modeling can be enhanced to incorporate these effects.

Participants will delve into the following key areas:

1. Climate-Ecosystem Interactions: Explore the complex interactions between climate parameters and various ecosystems, such as forests, oceans, grasslands, and fresh waters. Understand how climate-induced changes, including temperature shifts, altered precipitation patterns, extreme weather events, and fires impact the structure and functioning of ecosystems, focusing on tipping points and regime shifts.

2. Advancements in Ecosystem Modeling: Showcase the latest advancements in ecosystem modeling techniques, including mathematical models, machine learning, remote sensing, and data-driven approaches. Examine how these models can simulate and predict ecosystem responses to climate change scenarios with greater accuracy and precision.

3. Impacts on Biodiversity and Species Distribution: Analyze the implications of climate change on biodiversity loss, species migration, and habitat alterations. Discuss strategies for preserving vulnerable ecosystems and mitigating potential ecological disruptions.

4. Resilience, Adaptation, and Prevention Strategies: Highlight successful cases of ecosystem resilience and adaptation in the face of climate challenges. Share best practices and innovative solutions that promote ecosystem sustainability and recovery. Model-based solutions to predict fires intensity and propagation.

5. Conservation and Restoration Efforts: Discuss conservation and restoration efforts based on climate-inclusive ecosystem modeling, focusing on ecosystem-based approaches that account for climate dynamics in restoration projects.

This conference aims to stimulate vibrant discussions, facilitate interdisciplinary collaborations, and promote the development of innovative methodologies and scientific works that consider climate as a pivotal factor in ecosystem dynamics. By uniting diverse perspectives and expertise, this conference endeavors to contribute significantly to the growing body of knowledge addressing the urgent need for sustainable management of ecosystems in an ever-changing world.

GTA: Philadelphia 2024 is the 9th annual Graduate Student Conference in Algebra, Geometry, and Topology (GSCAGT), to be held on-campus at Temple University in Philadelphia from Friday, May 31 to Sunday, June 2, 2024.

This conference aims to expose graduate students in algebra, geometry, and topology to current research, and provide them with an opportunity to present and discuss their own research. It also intends to provide a forum for graduate students to engage with each other as well as expert faculty members in their areas of research. Most of the talks at the conference will be given by graduate students, with four given by distinguished keynote speakers:

Sarah Koch (University of Michigan)

Nick Miller (University of Oklahoma)

Hiro Lee Tanaka (Texas State University)

Isabel Vogt (Brown University)

This event is sponsored by the Department of Mathematics at Temple University and is pending sponsorship from the NSF. Registration is now open. The deadline to register for funding is April 17th, after which it will be considered on a rolling basis. We encourage participants to apply early; once NSF funding for the conference has been approved, applications filed before deadline will receive a decision within two weeks of submission.

GTA: Philadelphia 2024 is the 9th annual Graduate Student Conference in Algebra, Geometry, and Topology (GSCAGT), to be held on-campus at Temple University in Philadelphia from Friday, May 31 to Sunday, June 2, 2024.

This conference aims to expose graduate students in algebra, geometry, and topology to current research, and provide them with an opportunity to present and discuss their own research. It also intends to provide a forum for graduate students to engage with each other as well as expert faculty members in their areas of research. Most of the talks at the conference will be given by graduate students, with four given by distinguished keynote speakers.

This event is sponsored by the Department of Mathematics at Temple University and is pending sponsorship from the NSF.

This summer school series aims at training their participants in key strategic problems in mathematics and their applications, with the core idea that theory and applications strengthen each other. The school is focused in training of young researchers whilst opening new fields for senior ones.

The Hypatia Graduate Summer School will consist in two keynote courses on subjects of exceptional promise and scientific importance delivered by highly distinguished speakers in the area plus a high-level colloquium on a complementary subject.

The Hypatia Graduate Summer School will be developed in an informal atmosphere based on discussions, exchange of ideas and critical analysis of results. Moreover, to honour its namesake, it is committed to work under a friendly gender perspective that highlights the role of women in mathematics and encourages and helps the participation and promotion of young female researchers at a professional level.

The relative Langlands program is a generalization of the classical Langlands program from reductive groups to certain homogeneous spaces. The recent work of Ben-Zvi, Sakellaridis, and Venkatesh on relative Langlands duality reveals new connections of the program to algebraic geometry and physics. The summer school and workshop will cover several aspects of the relative Langlands program and explore those new connections.

This is the 5th edition of the "Regulators" series of conferences, which bring together the world's leading experts on regulators and their connections to the study of algebraic cycles and motives. Applications to physics and other branches of mathematics such as number theory, algebraic geometry and mathematical Physics will also be considered. In particular, the conference will report on the progress in the subject since the previous conference Regulators IV, which was held in Paris in 2016.

This conference aims to provide an overview of some of the most important results recently obtained in various fields of applied mathematics. By bringing together experts in different areas of research (partial differential equations, approximation, applied linear and multilinear algebra, probability and statistics, artificial intelligence and deep learning), the M3A_24 conference will bring together researchers, students and members of industry to discuss the applications of mathematics to practical problems.

The M3A_24 conference will cover the following topics:

Numerical Linear and Multilinear Algebra

Approximation, Numerical methods for PDE's

Machine Learning, Optimization, Image Processing

Model Reduction, Control Problems

Inverse and Ill-posed Problems

Computational Statistics

This will be a 3-days workshop on arithmetic dynamics. For more information, please see the webpage.

The conferences will feature a variety of events focusing on recent developments in algebraic topology and their applications to geometry, physics, and data science.

The summer school is dedicated to graduate students and young researchers, and aims to give an introduction to recent techniques and topics of additive combinatorics. The lectures of the summer school will concentrate on recent developments of the polynomial method, some combinatorial methods of additive combinatorics, and the introduction of Fourier analytic techniques connected to them. The main topics will be presented by top researchers of the area.

The lecturers will be Julia Wolf, Christian Elsholtz, Peter Pal Pach, Sean Prendiville.

The EPIGA 2024 conference will feature a series of lectures covering a large spectrum of algebraic geometry. Half a day will be devoted to talks and debates on the topic of scientific publishing. It will also be the occasion to award the first Demailly prize for open science.

Lie algebras and superalgebras are among the most important algebraic structures with ample applications in modern mathematics like geometry, harmonic analysis, algebra and representation theory, and number theory. Number Theory is one of the oldest and classical branch of mathematics. This conference aims to bring together researchers working in various areas of algebra and number theory to exchange knowledge and further possible collaborations. The key topics of the conference are as follows:

• Structure and representation theory of finite and infinite dimensional Lie algebras/Lie superalgebras
• Number Theory (Algebraic Number Theory/ Modular Forms/ Automorphic Forms/ Diophantine Equations/ Partition Theory)
• Applications of Lie Theory to Number Theory.

A summer school during June 10-13, 2024 for advanced undergraduates and beginning graduate students and a conference on arithmetic geometry, number theory, and related topics during June 14-16, 2024.

SDS2024 is the 12th edition of a series of meetings whose aim is to bring together researchers from different fields, mainly Mathematics and Engineering, and give them the opportunity to discuss, in a friendly atmosphere, recent developments in computational and theoretical methods for Dynamical Systems and PDEs, and their applications. This year’s edition will host four minicourses on special topics and a session of short talks.

Titles and organizers of the minicourses are listed below.

• From finite elements to virtual elements and applications, L. Beirão Da Veiga, A. Russo, F. Dassi

• Stochastic optimization for machine learning, S. Bellavia

• Overview of numerical methods in optimal transport, L. Dieci, D. Omarov

• Physics-based and data-driven algorithms for partial differential equations, with applications, A. Quarteroni, F. Regazzoni

Please visit https://sites.google.com/view/sds2024 for more information.

This conference is devoted to the most recent results of Additive Combinatorics. The topic of the conference is aimed to emphasize the rich interactions between additive combinatorics, harmonic analysis and number theory. The conference will bring together some recognized experts of the field, junior researchers (postdoctoral fellows and graduate students), and senior researchers from various aspects of the main topic. Beside the discussion on the recent progress in the field, it is also aimed to initiate interaction and collaboration among the participants.

The scientific root of this workshop goes back to the seminal works of E. Calabi in the 1950s, who proposed to find a canonical Kähler metric, called extremal, representing a cohomology class of a compact Kähler manifold. Calabi showed that in this setting, the search for extremal Kähler metrics can be reduced to solving a non-linear PDE. A particular example of extremal Kähler metrics are the celebrated Kähler-Einstein metrics whose existence theory is now settled, starting with the resolution of Calabi’s famous conjecture by Aubin and Yau in the 1970s (the non-obstructed case), and culminating in recent times with the resolution of the Yau-Tian-Donaldson (YTD) conjecture in the obstructed Fano case. These efforts motivated a general YTD correspondence, which predicts that the existence of special Kähler metrics should be expressed in terms of a suitable complex-analytic/algebraic notion of stability of the underlying complex/projective variety.

Many partial results on such general YTD correspondences have been obtained recently in various special cases. For instance, the existence of a constant scalar curvature Kähler metric on a smooth toric variety is now settled whereas the log Fano case has been tackled recently, notably via weighted versions of Kähler-Ricci solitons. Another challenging direction of active current research consists of finding computable or even algorithmic criteria for algebraic stability (or for the existence of special Kähler metrics) on a given manifold, for example as in the recent works in the case of spherical varieties. Finally, the existence of special Kähler metrics or, equivalently, the corresponding stability notions, are expected to give the right tool for defining a good moduli space of polarized varieties.

See conference website

The Queen's Mathematics Summer School is open to undergraduate and Masters students who are interested in spending one week learning exciting, cutting-edge mathematics on the beautiful campus of Queen's University by the shores of Lake Ontario. There will be three courses, each with 9 hours of lecture time over the week.

Course A: Scalar Conservation Laws Instructor: Maria Teresa Chiri (Queen's University) Keywords: Hyperbolic PDEs, Hamilton-Jacobi, applications to vehicular traffic.

Course B: Topics in Machine Learning Instructor: Bahman Gharesifard (Queen's University and UCLA) Keywords: Temporal difference learning, non-convex optimization, sample complexity.

Course C: Topology of Maps Between Curves Instructor: Mike Roth (Queen's University) Keywords: Polynomial solutions to polynomial equations, genera, elliptic curves.

The Ninth Pacific Rim Conference on Mathematics (PRCM) will be held from Mon, Jun 17 2024 to Fri, Jun 21 2024 at the Darwin Convention Centre, in Darwin (Northern Territory, Australia), hosted by the Mathematical Sciences Institute (MSI), Australian National University (ANU). The PRCM is a broad mathematical event held every few years that covers a wide range of exciting research in contemporary mathematics. Its objectives are to offer a venue for the presentation to and discussion among a wide audience of the latest trends in mathematical research, and to strengthen ties between mathematicians working in the Pacific Rim region. The conference will provide mathematicians with opportunities to engage with international research leaders, established colleagues, and junior researchers.

RNT5 will be a remote collaborative research experience for the weeks of June 17 through June 28. The goal is for participants to learn new math, get to know colleagues, and have a joyful, affirming research experience. Team leaders have planned projects for participants to work on during the workshop. You can read more about the 6 projects on our website.

To ensure that all participants can share in this joyful research experience, we ask that all who apply to participate be committed to equity and justice. We will also make time to imagine a different way to do math: How can our profession be transformed to welcome and support everyone?

RNT aims to foster diversity; we particularly encourage applications from historically underrepresented people in mathematics (including Black and Indigenous people, people of color, women, LGBTQ+ members of the community, and people with disabilities), scholars at undergraduate institutions, and in general scholars at all stages of their career who believe they would benefit from this experience. Please share this announcement with any groups, students, post docs, or scholars who might be interested in participating in this workshop.

After the success and impact of Spec(Q⎯⎯⎯⎯), held at the Fields Institute in 2022, Spec(Q¯(2πi)) again aims to celebrate and promote research advances of LGBTQ2I (Lesbian, Gay, Bisexual, Transgender, Queer, 2-spirit , Intersex) mathematicians specialising in algebraic geometry, arithmetic geometry, commutative algebra, and number theory. The first edition of the conference proved to be extremely important to lay the foundations for a fertile, supportive and stimulating scientific queer community in the areas of algebraic geometry, commutative algebra and number theory. Building on the strengths of the first edition, Spec(Q¯(2πi)) will create an empowering and engaging environment which provides LGBTQ2I visibility in algebraic geometry, will support junior LGBTQ2I academics, and will crystallise new collaborative networks for participants.

Algebraic geometry, classically, is the study of the geometry of solutions of polynomial equations; through modern advances it has become an intersectional mathematical field, drawing from various aspects of algebra, number theory, geometry, combinatorics and even mathematical physics. This conference aims to highlight strong mathematical research in a wide array of topics in algebraic geometry, broadly defined. The conference will feature some plenary talks by world-leading researchers from a range of areas of algebraic geometry. To facilitate new connections across the various threads of algebraic geometry, plenary talks at Spec(Q¯(2πi)) will be aimed at a general algebro-geometric audience.

Algebraic geometry is the field of mathematics which concerns the study of spaces cut out by polynomial equations. This workshop concern the interaction of two important objects in algebraic geometry - the K-groups and the Brauer group. In algebraic geometry, we study spaces via invariants - the procedure of attaching simpler, more "linear" objects to these spaces in the hope of extracting information about them. Both the K-groups and Brauer group are such examples which have had an excellent track record in being both powerful and accessible at the same time. Roughly speaking, the K-groups are built out from \emph{vector bundles} on such a space - a continuous assignment of vector spaces on each point of the space. On the other hand the Brauer groups are built from "twisted" vector bundles.

Both invariants have had a history of interaction and cross-pollination and the goal of the workshop is to bring together researchers in both areas to share their research and pave the way for even more fruitful interaction in the future. We are particularly excited about the prospect of new, field-driving questions to come out from this workshop.

The conference welcomes experts and students in the subject of nonlinear mathematical physics, where the focus is on the development and use of mathematical theories to analyse and solve nonlinear problems thaat arise in nature and in technologies. Participants can present their recults orally or in the form of a poster. The main subjects include nonlinear continuous and discrete integrable equations, non-commutative geometry, symmetry analysis, wave propagations, and the classification of equations. One evening of talks is reserved for the non-expert audience where the general public is invited to listen to presentations which will be of a non-technical and more philosophical nature. This open-door session is titled "An Evening of Science and Philosophy" and participation is free for everyone.

This conference focuses on new and emerging connections between solvable lattice models and special functions on p-adic groups and covering groups, uses of quantum groups, Hecke algebras and other methods to study representations of p-adic groups and their covers, and advances in algebraic combinatorics and algebraic geometry.

This conference focuses on new and emerging connections between solvable lattice models and special functions on p-adic groups and covering groups, uses of quantum groups, Hecke algebras and other methods to study representations of p-adic groups and their covers, and advances in algebraic combinatorics and algebraic geometry.

This conference focuses on new and emerging connections between solvable lattice models and special functions on p-adic groups and covering groups, uses of quantum groups, Hecke algebras and other methods to study representations of p-adic groups and their covers, and advances in algebraic combinatorics and algebraic geometry.

This conference focuses on new and emerging connections between solvable lattice models and special functions on p-adic groups and covering groups, uses of quantum groups, Hecke algebras and other methods to study representations of p-adic groups and their covers, and advances in algebraic combinatorics and algebraic geometry.

This conference focuses on new and emerging connections between solvable lattice models and special functions on p-adic groups and covering groups, uses of quantum groups, Hecke algebras and other methods to study representations of p-adic groups and their covers, and advances in algebraic combinatorics and algebraic geometry.

This conference focuses on new and emerging connections between solvable lattice models and special functions on p-adic groups and covering groups, uses of quantum groups, Hecke algebras and other methods to study representations of p-adic groups and their covers, and advances in algebraic combinatorics and algebraic geometry.

This workshop aims to bring together experts in number theory and physics, especially on topics on the interface of the two subjects.

Hilbert’s twelfth problem asks for explicit constructions of the abelian extensions of a given number field, similar to what is known for the rational numbers and for imaginary quadratic fields. These abelian extensions are known as class fields because their Galois groups are identified with certain generalized ideal class groups. In the two known cases, the class fields are obtained via the adjunction of roots of unity and of torsion points on elliptic curves with complex multiplication. These are special values of complex analytic functions – the exponential function and elliptic functions with complex multiplication. Hilbert may have envisioned the use of special values of complex analytic functions to construct class fields of more general base fields.

In the 1970s, Harold Stark proposed a strikingly original approach to the generation of class fields, based on his conjectures on the leading term of Artin L-functions at s = 0 [St75]. In the case of abelian L-functions with a simple zero at s = 0, Stark predicted that the first derivative was the logarithm of a unit in the respective class field [St76], so exponentiating this derivative would give a generator for the abelian extension. In the two known cases, this reduced to the theory of circular and elliptic units, thanks to Dirichlet’s analytic class number formula and Kronecker’s limit formula. Although there is now extensive computational evidence that Stark’s conjecture is correct, there has been little progress on its solution.

In the 1980s Benedict Gross formulated some p-adic [Gr82] and tame [Gr88] analogues of Stark’s conjectures, which gave more information on the p-adic expansions of the conjectural units. Since the p adic L-functions involved in Gross’s conjecture are related to certain Galois modules via the main conjecture in Iwasawa theory, these conjectures have proved more amenable than their complex analogs. Refinements of the Gross-Stark conjecture were proposed in [DD06], and the p-adic conjectures of [Gr82] was proved in [DDP11]. This line of argument has culminated in the recent work of Samit Dasgupta and Mahesh Kakde [DKa], [DKb] which, by proving a large part of the conjectures of [Gr88] (along with the refinement [DD06] of the conjectures of [Gr82] in the broader setting of totally real fields) leads to a p−adic solution to Hilbert’s twelfth problem for this large class of fields.

The goal of this workshop is to take stock of this striking recent development and of other progress around the theme of related approaches to explicit class field theory. The key to much of the progress over the years is the careful study of p-adic and tame deformations of modular forms, most notably, of Hilbert modular Eisenstein series. The p-adic interpolation of classical Eisenstein series was introduced by Jean-Pierre Serre [Se72] to study the congruences of special values of L-functions and the construction of p-adic L-functions for totally real fields, and was further developed by Barry Mazur and Andrew Wiles in their proof of the main conjecture of Iwasawa theory [MW84]. The workshop will focus on the breakthroughs in [DKa] and [DKb], with a lecture series by the two authors forming the cornerstone of the activity.

Transfer systems are a new combinatorial object that exhibit surprising connections between abstract homotopy theory, equivariant topology, and combinatorics. About ten years ago, Blumberg and Hill defined the related "indexing systems'' as the central algebraic object controlling twisted multiplications that naturally arise in the study of equivariant cohomology theories. Rubin and Balchin--Barnes--Roitzheim independently recast this notion in a much simpler framework, characterizing indexing systems in terms of transfer systems, as a particular kind of weak subposet of the lattice of subgroups of a finite group G , ordered by inclusion. Work of Ormsby--Osorno and teams of collaborators has shown how the natural generalization of this notion to an arbitrary poset has fascinating combinatorial properties, and Balchin--MacBrough--Ormsby have further connected this to abstract homotopy theories on posets. Each of these connections provides exciting results which can be transferred and reinterpreted in the other fields, yielding unexpected new structure and theorems.

This MRC will introduce participants to this burgeoning new area, bringing together researchers with interests in combinatorics, algebraic topology, and abstract homotopy theory. The field is rife with open problems, including basic questions about the structure of transfer systems, combinatorics problems associated to counting transfer systems for natural families of posets, identifying connections with other combinatorial structures, and applying the language of model categories to recast and reform these questions.

One of the exciting features of the program is that there are few prerequisites. Familiarity with abstract homotopy theory or with modern methods of algebraic topology will allow deeper engagement with some of the potential problems, but is not required, and much of the subject can be approached purely combinatorially. Before the workshop, relevant readings will be provided to help provide background, and an online collaboration platform will be used to start discussing material and to begin building community. At the workshop, participants can expect to work in teams on research programs, to engage with lectures from senior faculty participants about aspects of homotopical combinatorics, and to have open feedback sessions for further discussion.

The primary focus of the workshop is supporting early-career researchers, including advanced graduate students, postdocs, and pre-tenure faculty. As such, there will also be professional development sessions, the topics of which will be driven by participant interest and need. We especially encourage members of traditionally excluded groups to apply.

Applications will be accepted on MathPrograms.org through Thursday, February 15, 2024 (11:59 p.m. EST).

Dear collegues

We are very proud to invite you to the "Online International Geometry Symposium in Honor of Prof. Dr. Aysel Turgut Vanlı" to be held on 1-2 July 2024. The International Geometry Symposium will be hosted by Munzur University and Amasya University. The symposium is dedicated to the 60th birthday of Prof. Aysel TURGUT VANLI, a faculty member of Gazi University, Department of Mathematics, who has been conducting scientific studies in the field of geometry for more than 35 years.

The symposium will be held online via Microsoft teams. There is no registration fee.

In this symposium, it is expected to present scientific studies in many areas of geometry, especially in differential geometry, Riemannian geometry, semi-Riemannian geometry, information geometry, and complex geometry. The symposium has 7 invited speakers who are experts in their fields:

Bang-Yen CHEN (Michigan State University, USA)

Ryszard DESZCZ (Wroclaw University of Environmental and Life Sciences, Poland)

Rajendra PRASAD (University of Lucknow, India)

Zafar AHSAN (Aligarh Muslim University, India)

Giulia DILEO (University of Bari Aldo Moro, Italy)

Beldjilali GHERICI (University of Mascara, Algeria)

Majid Ali CHOUDARY (Maulana Azad National University of Urdu, India)

We are honoured by your participation in the symposium which will bring together speakers and participants from different parts of the world.

With my regards.

Head of the Organising Committee

Assoc. Prof. Dr. İnan ÜNAL

We would like to advertise a Summer School in low-dimensional topology, organized by the Simons collaboration "New structures in low-dimensional topology”, which will take place at the Rényi Institute in Budapest (Hungary) on the week of 1st-5th July 2024. The main target audience of the summer school are PhD students. See https://erdoscenter.renyi.hu/events/summer-school-new-structures-low-dimensional-topology for more information.

We have limited funding to support some junior participants as well as limited space. Registration and application for funding is now open at the above link. The deadline for application is 15th March 2024.

Please forward this message to anyone who might be interested in applying.

Our best wishes, The organizers Sergei Gukov, Aaron Lauda, Marco Marengon, Tom Mrowka, Peter Ozsváth, András Stipsicz, Zoltán Szabó

This conference will present the latest developments in the use of transcendental methods (complex analysis, differential geometry of special metrics, harmonic maps, plurisubharmonic functions, Hodge theory, ...) to study complex algebraic varieties. It will be an opportunity to celebrate the 70th birthday of Thomas Peternell, who played a major role in the development of transcendental methods in algebraic geometry.

The first Discrete Geometry Days were held in the summer of 2016. This was followed up by DGD2 in the summer of 2019. Now we are organizing DGD3.

Dates: July 2-5, 2023 Venue: Math. Inst. of the Budapest Univ. of Tech. and Economics Egry József u. 1., Budapest https://goo.gl/maps/JxCbtWaGpqT2 Building H, Room 607 (6th floor)

The conference is to serve as a meeting point for people working in areas of geometry that are relatively close to each other. Topics to be included are packing and covering questions, Helly-type problems, topological methods in geometry, rigidity, finite dimensional normed spaces, and other areas of Discrete, Combinatorial and Convex Geometry of interest to the participants.

Organizers:

Zsolt Lángi Márton Naszódi Konrad Swanepoel

Invited speakers (so far):

Károly Bezdek (University of Calgary / University of Pannonia), Máté Matolcsi (Rényi Institute, Budapest), Eugenia Saorín Gómez (Uni Bremen), Louis Theran (University of St Andrews), Bernardo Gonzalez Merino (University of Murcia), Susanna Dann (Universidad de los Andes), Attila Pór (Western Kentucky University), Grigory Ivanov (IST Austria)

The IAS/Park City Mathematics Institute is a three-week residential summer session with a graduate summer school, a research program, an undergraduate summer school, and an undergraduate faculty program. More information can be found on the conference website. PCMI encourages applications from all those with interest in the program, both from the US and internationally. This year it is organized by Benjamin Antieau (Northwestern University), Marc Levine (Universität Duisburg-Essen), Oliver Röndigs (Universität Osnabrück), Alexander Vishik (University of Nottingham), and Kirsten Wickelgren (Duke University).

The idea of p-adic families of automorphic forms grew out of work of Serre and Swinnerton-Dyer in the 70s exploring congruences between the q-expansion coefficients of modular forms. Work of Hida, Coleman and Mazur made the investigation of p-adic families one of the central topics in the arithmetic of modular forms. In the following decades there were striking applications to the construction of p-adic L-functions, Iwasawa theory and modularity of Galois representations.

One powerful organising principle has been to parametrize p-adic modular forms (or, more generally, p-adic automorphic forms) by p-adic analytic spaces known as eigenvarieties (or eigencurves, in the one-dimensional case originally considered by Coleman and Mazur). Our understanding of the geometry of eigenvarieties and their relationship to moduli spaces of Galois representations has rapidly developed, but there are still many important open questions.

An overarching objective of this meeting will be to bring together people working on the different theories of p-adic automorphic forms and various applications (or potential applications). We hope that this will inspire new collaborations and insights.

In 2024, Péter Frankl, Zoltán Füredi, Ervin Győri and János Pach will turn 70. On the occasion of this joyful event, we organize a conference Sum(m)it280. We would like to invite you to celebrate these four Hungarian combinatorialists with us.

Because of the ubiquity of Fourier analysis, oscillatory integrals are present in many techniques in both harmonic analysis and analytic number theory. Current state-of-the-art methods in both fields are pushing beyond classical methods because of increased importance of understanding the uniformity and stability of the estimates. In addition, researchers are uncovering unifying ideas that span the (traditionally somewhat separated areas) of oscillatory integrals in the setting of analysis, and character sums in number theory. Recent work on estimating oscillatory integrals have even applied model theory, from logic.

This summer school will give participants an introduction on the classical methods for estimating oscillatory integrals and explain current cutting-edge developments. Throughout, the lectures will view these problems through a lens of understanding the uniformity and stability of the estimates.

In the last few years, there have been extraordinary developments in many aspects of curve theory. Beginning with many examples in low genus, this summer school will introduce the participants to the background behind these developments in the following areas:

1. moduli spaces of stable curves
2. Brill–Noether theory
3. the extrinsic geometry of the curves in projective space

We will also include an introduction to some open problems at the forefront of these active areas.

School Structure

There will be two one-hour lectures and two problem sessions each day.

Prerequisites

Basic knowledge of algebraic geometry up to the level of the Riemann–Roch and Riemann–Hurwitz theorems for curves. (These theorems appear, for example, in Hartshorne’s Algebraic Geometry as Theorem IV.1.3 and Corollary IV.2.4; or in Sections 2.3 and 2.1 in Griffiths–Harris Principles of Algebraic Geometry).

Application Procedure

For eligibility and how to apply, see the main summer school page.

This summer school will give participants an introduction to contemporary methods for studying maximal operators, with a particular focus on using maximal operators as a tool to understand other phenomena in analysis.

Lecture series by:

Jonathan Bennett, University of Birmingham: "Controlling oscillatory integrals by maximal operators"
Xiumin Du, Northwestern University: "Schrodinger maximal operators and applications to PDE’s"
Malabika Pramanik, UBC: "Geometric Maximal Operators"
Andreas Seeger, UW Madison: "The Nevo-Thangavelu spherical maximal function on 2-step groups"

The biannual ANTS meetings are the premier international forum for the presentation of new research in computational number theory and its applications, including algorithmic aspects of number theory, including elementary number theory, algebraic number theory, analytic number theory, geometry of numbers, algebraic geometry, finite fields, and cryptography.

See conference website

The follow-up to the 2015, 2017, 2019 and 2022 Students' Conference on Tropical and Non-Archimedean Geometry, will take place in Regensburg from July 22, 2024 to July 26, 2024. The goal of the conference is to gather mainly PhD students and young post-docs in tropical, Arakelov or non-archimedean geometry in a friendly setting and foster new collaborations.

The conference will begin with three introductory lectures on tropical, Arakelov and non-archimedean geometry respectively, aimed in particular at new PhD students. Those will then be followed by more traditional research talks. We also encourage participants to apply for giving a talk.

This summer school will explore new developments at the intersection of condensed matter physics, C* algebraic quantum mechanics and algebraic topology. Specifically, the goal is to explore how C* algebras are used to study topological phases of matter in the thermodynamical limit, and how methods from topology and homotopy theory can be applied in this setting to study phases of quantum systems.

Tropical geometry is a piece-wise linear geometry which merges ideas from algebraic, symplectic and non-archimedean geometry with tools from combinatorics and convex geometry. Via the process of tropicalization, classical varieties and geometric problems can be connected to the tropical world and, in some cases, solved there. In non-archimedean geometry, the valuation on the underlying field makes the idea of tropicalization particularly natural and powerful. In recent years, this connection has received much attention and exhibited links to diverse topics such as Hodge theory, mirror symmetry and the study of zeta functions. The main goal of this event is to introduce students and young mathematicians to these exciting topics and to foster and strengthen the connections between local researchers and the international mathematical community.

The school will introduce the participants to tropical and non-archimedean geometry via two minicourses given by Ilia Itenberg (Sorbonne Université) and Marco Maculan (Sorbonne Université). Additionally, in the research talks we will explore the latest developments in the field. We hope that this school can serve as the starting point for a local network of researchers and students and therefore can be continued in the coming years by follow-up events of a similar type.

The aim of this conference is to help narrow the gap between computational mathematicians and mathematical cryptographers, driven by the many new hardness assumptions that are emerging in the context of post-quantum cryptography. The conference will be organized along the four main mathematical themes in post-quantum cryptography: lattices, error-correcting codes, systems of non-linear equations, and isogenies.

The Young Topologists Meeting is an annual international conference aimed at early-career researchers in topology - both pure and applied - covering the whole breadth of the subject. It serves as a platform for graduate, PhD students, and early postdocs to present their research, exchange ideas, and build international connections.

Previous editions of the conference have been organized by the EPFL, Switzerland, the University of Copenhagen, Denmark, and jointly by the University of Stockholm and the Royal Institute of Technology, Sweden. Next up: Münster, Germany.

A celebration of the mathematics of Eric Friedlander on the occasion of his 80th birthday

The Journal of Number Theory hosts a number theory conference every two years to publicize recent advances in the field. The JNT also sponsors the David Goss Prize, a 10K USD prize awarded every two years to a young researcher in number theory and presented at the JNT Biennial.

The 9th installment of AGACSE (Applied Geometric Algebras in Computer Science and Engineering) will take place August 26-29 in Amsterdam.

The field of Geometric/Clifford Algebras has seen a recent surge in applied interest, as witnessed on https://bivector.net, its accompanying discord server, and other forums. The unifying nature of the GA framework is prompting company-wide software approaches to geometrical, mechanical and EM solutions. The novel PGA (the GA of 3D Euclidean geometry) has simplified the classical data structures from computer graphics to classical mechanics simulators. And the very recent applications within Geometrically Equivariant Networks have immediately produced successes that draw in new researchers and practitioners, with new software platforms and tutorials appearing monthly.

The AGACSE conference aims to showcase successful examples of such applications from industry, and discuss the new developments now brewing in research labs. We expect a fruitful interaction between practice and theory, in which novel insights inform implementations, and new target domains raise interesting new structural questions.

You may find the conference website here: https://staff.science.uva.nl/l.dorst/AGACSE2024/index.html.

The first important deadline is the submission of a 4-6 page abstract by February 29, 2024.

We hope to see you in Amsterdam in August 2024!

dr ir Leo Dorst, University of Amsterdam prof dr Joan Lasenby, University of Cambridge

The aim of this meeting is to bring together people attacking key problems in number theory via techniques involving concrete or computable descriptions. Here, number theory is interpreted broadly, including algebraic and analytic number theory, Galois theory and inverse Galois problems, arithmetic of curves and higher-dimensional varieties, zeta and L-functions and their special values, and modular forms and functions. Considerable attention is paid to computational issues, but the emphasis is on aspects that are of interest to the pure mathematician.

Because of limited space, participation is by invitation only.

The workshop is primarily aimed at researchers on the doctoral and early postdoctoral level. Besides some already announced mini-courses and research talks, we will offer selected participants the opportunity to present their own work.

This is a summer school aimed at advanced Masters students and PhD students. There will be three courses,

Class Field Theory (Tamás Szamuely)

Elliptic Curves (TBA)

Cohen-Lenstra Heuristic (Alex Bartel),

with lectures in the morning and exercise sessions in the afternoon. The number of participants will be limited to 50 and we have funds to cover the accommodation costs of about 35 participants. Registration is open until 20 May.

The purpose of the Annual International Conference of the Georgian Mathematical Union is to bring together mathematicians from various fields to present their original research results and provide opportunities to establish new connections within the fields of pure and applied mathematics, as well as science, engineering, and technology. The conference also provides valuable networking opportunities for you to meet great personnel in these fields. Sections: • Algebra and Number Theory • Differential and Integral Equations, and Their Applications • Geometry and Topology • Logic, Language, Artificial Intelligence • Mathematical Education and History • Mathematical Logic and Discrete Mathematics • Mathematical Modeling and Numerical Analysis • Mathematical Physics • Probability Theory and Statistics, Financial Mathematics • Real and Complex Analysis

Automorphic forms are present in almost all areas of modern number theory. Over the past few decades, there has been an explosion of activity and progress in this vast field, leading to exciting new directions of research, new applications, and connections to other fields. The Building Bridges conferences are a central element in this evolution of the subject. The Building Bridges conference is an international biennial event, the 2024 edition will be the sixth. These meetings, which last two weeks, consist of a summer school, followed by a one-week workshop. Each summer school consists of three 2-day mini-courses, taught by teams of internationally renowned researchers. The courses are given by pairs of teachers- made up of a European and an American researcher, giving meaning to the idea of a bridge between the research carried out in the two continents. The workshop is organized in a very dynamic way and is well known and well received by the experts. The format of the conference is special: there are no guest speakers, but the time is shared equally between all speakers, following the advice of the scientific committee. The objective is to promote young researchers by giving them the same time to present their research as experienced scientists in the field. There will also be several awareness round tables on themes of social interest.

Join us at the forefront of innovation! The Institute of Mathematics and its Applications is proud to present the AI/ML Congress 2024—an inclusive gathering of academics, industrialists, and AI enthusiasts from diverse fields. Explore the limitless possibilities of Artificial Intelligence and Machine Learning through engaging presentations, panel discussions, and unparalleled networking opportunities. A Symphony of AI Expertise Delve into a rich tapestry of short presentations showcasing cutting-edge research and applied work in AI across diverse fields, encompassing: • Healthcare: Witness the transformative power of AI in revolutionising medical diagnosis, treatment planning, and drug discovery. • Finance: Explore the intricate interplay of AI in financial modelling, risk assessment, and fraud detection. • Environment: Discover AI’s role in fostering sustainable practices, optimising resource utilisation, and combating climate change. • Manufacturing: Witness the seamless integration of AI in streamlining production processes, enhancing product quality, and optimising supply chains. • Retail: Immerse yourself in the personalised shopping experiences powered by AI, from product recommendations to predictive analytics. • Legal: Discover AI’s transformative impact on legal research, contract generation and review, and dispute resolution. • Media: Explore the innovative applications of AI in content creation, speech/audio recognition, and sentiment analysis. Panel Discussions -Unleashing Novel Applications and Emerging Trends Engage in thought-provoking panel discussions led by industry experts and leading AI researchers, delving into: • The Ethical Implications of AI: Explore the ethical considerations surrounding AI development, deployment, and societal impact. • AI and the Future of Work: Unravel the transformative impact of AI on the workforce, automation, and job creation. • AI for Social Good: Discover the potential of AI to address global challenges, from poverty alleviation to disaster management. A Congress for All AI Enthusiasts Whether you’re an academic seeking the latest research breakthroughs, an industrialist eager to harness AI’s power, a researcher pushing the boundaries of innovation, or simply an AI enthusiast fascinated by its potential, the IMA AI/ML Congress welcomes you with open arms. The Congress aims to foster an environment where interdisciplinary collaboration thrives, and all views are welcome.

In 2019, the organizers created a workshop called Number Theory in the Americas, which brought together junior and senior mathematicians from North, Central, and South America, to work together on research projects. The workshop resulted in at least seven publications, and served as a first collaboration experience for many of the junior researchers. The organizers propose to create a follow-up workshop in order to provide collaboration opportunities for the PhD students and postdocs who were too young to participate the last time. The workshop will be held in Spanish in order to erase the additional obstacle of communicating in English. We will welcome native and non-native speakers alike.

Our workshop is modeled after several other workshops that have been successful at fostering mathematical collaboration. Participants will be divided into small project groups (3-5 participants) containing a mix of junior and senior researchers. Each group will be led by one or two senior mathematicians. Project groups will be assigned based on research area, with care taken to ensure that each group contains researchers from both continents who have not previously worked together. Background reading will be sent to project group members several months in advance so that they are prepared to work on their respective problems together when they arrive in Oaxaca. The bulk of the workshop will be devoted to working in the project groups, but there will be introductory talks on the first day and final reports on the last day. There will also be panel discussions on topics of particular interest to junior researchers. The expectation is not that each project group will write a paper by the end of the week. Rather, it is meant to be an opportunity to exchange ideas and a starting point for potential future collaboration.

This workshop is motivated by recent developments in geometric representation theory, related to wild ramification in the geometric Langlands program and non-abelian Hodge theory. The goal is to bring together researchers in these fields and researchers working on irregular singularities (in particular Stokes phenomena), to stimulate future interactions.

It will feature research talks from experts in the field, a poster session for early-career researchers as well as three mini-courses by

Jean-Baptiste Teyssier (Sorbonne Université), Valerio Toledano-Laredo (Northeastern University) and Zhiwei Yun (Massachusetts Institute of Technology).

CIMPA/AESIM introductory school of number theory for developing countries

Inverse problems are widespread in many varied fields such as medical and satellite imaging, biology, astronomy, geophysics, environmental sciences, computer vision, energy, finance, and defence. These problems are inverse in the sense that they arise from seeking to use a mathematical or physical model “backwards” to indirectly determine a quantity of interest from the effect that this quantity causes on some observed data. A main challenge resulting from using models “backwards” to measure causes from their effects is that solutions are often not well posed, i.e., not unique and/or unstable with respect to small perturbations in the data. This difficulty has stimulated an important amount of research and innovation at the interface of applied mathematics, statistics, engineering, physics, and other fields, leading to great social and economic benefit through impact on science, medicine, and engineering. The aim of this conference is to bring together the applied mathematics, statistics, machine learning, engineering, physics and industrial communities around the topic of inverse problems to discuss recent developments and open challenges in theory, methodology, computational algorithms, and applications. We welcome industrial representatives, doctoral students, early career and established academics working in this field to attend. Topics of interest include, for example, • Inverse problems in mathematical and computational imaging. • Inverse problems in science, medicine, engineering, and other fields. • Model‐based and data‐driven methods for solving inverse • Optimisation, statistical, and machine learning methods for solving inverse problems. • Mathematical theory for inverse problems. • Deterministic and stochastic computational methods and algorithms.

Call for Presentations/posters Contributions will be accepted for the conference based on a 200 word abstract for oral or poster presentation. We welcome abstracts to be submitted by 15th March 2024.

Inverse problems are widespread in many varied fields such as medical and satellite imaging, biology, astronomy, geophysics, environmental sciences, computer vision, energy, finance, and defence. These problems are inverse in the sense that they arise from seeking to use a mathematical or physical model “backwards” to indirectly determine a quantity of interest from the effect that this quantity causes on some observed data. A main challenge resulting from using models “backwards” to measure causes from their effects is that solutions are often not well posed, i.e., not unique and/or unstable with respect to small perturbations in the data. This difficulty has stimulated an important amount of research and innovation at the interface of applied mathematics, statistics, engineering, physics, and other fields, leading to great social and economic benefit through impact on science, medicine, and engineering. The aim of this conference is to bring together the applied mathematics, statistics, machine learning, engineering, physics and industrial communities around the topic of inverse problems to discuss recent developments and open challenges in theory, methodology, computational algorithms, and applications. We welcome industrial representatives, doctoral students, early career and established academics working in this field to attend. Topics of interest include, for example, • Inverse problems in mathematical and computational imaging. • Inverse problems in science, medicine, engineering, and other fields. • Model‐based and data‐driven methods for solving inverse • Optimisation, statistical, and machine learning methods for solving inverse problems. • Mathematical theory for inverse problems. • Deterministic and stochastic computational methods and algorithms. Call for Presentations/posters Contributions will be accepted for the conference based on a 200 word abstract for oral or poster presentation. We welcome abstracts to be submitted by 15th March 2024. https://my.ima.org.uk Please indicate whether your title is intended for oral “presentation” or “poster” presentation. Note: If you are an IMA Member or you have previously registered for an IMA conference, then you are already on our database. Please “request a new password” using the email address previously used, to log in. Organising Committee Matthias Ehrhardt, Chair Tatiana Bubba Yurky Korolev Silvia Gazzola Programme Committee Marta Betcke Romina Gaburro Jonas Latz Audrey Repetti Paul Ledger Thomas Blumensath Tristan Van Leeuwen Silvia Villa Per Christian Hansen Richard Nickl

The Early Number Theory Researchers Workshop 2024 (ENTR 24) aims to foster colloborations and interactions among young researchers in number theory, in particular L-functions, Shimura varieties and p-adic Langlands program. The workshop has three plenary talks in these three directions. Participants are strongly encouraged to give a talk within these topics.

The 7th Mediterranean International Conference of Pure & Applied Mathematics and Related Areas (MICOPAM 2024), which is dedicated to Professor Abdelmejid BAYAD on the Occasion of his 61th Anniversary, will be held at Sherwood Dreams Resort Hotel (Ultra All Inclusive) in Antalya, TURKEY on October 26–29, 2024.

See the website for details on the subject matter of the workshop.

Per MFO rules, participation is generally limited to invited mathematicians. However, we have reserved a small number of places for early-career mathematicians, who may apply to participate by completing a short application.

The research school is an introductory meeting to the thematic program “Representation Theory and Noncommutative Geometry” to be held at IHP from January to March 2025. The trimester is part of an ongoing effort to bridge two fiels of Mathematics : the representation theory of locally compact groups and the theory of operator algebras. These research domains share origins in harmonic analysis, spectral theory and quantum mechanics but grew in separate directions. Recent progress in representation theory, involving especially non-Riemannian symmetric spaces and spherical varieties, and new tools developed in operator algebras, especially those involving K-theory and the other methods of non-commutative geometry, offer exciting prospects for new work at the interface between the two fields.

Mini-course are:

• Erik P. van den Ban (Universiteit Utrecht): Harmonic analysis of non-Riemannian symmetric spaces
• Tyrone Crisp (University of Maine): Tempered representations from the point of view of Langlands, and from the point of view of operator algebras
• Omar Mohsen (Université de Paris-Saclay): Introduction to hypoelliptic operators and their index theory
• Hang Wang (East China Normal University): Groups C*-algebras and their K-theory

Intertwining operators are ubiquitous in representation theory. Their construction typically requires a considerable amount of analysis, and they often assume an interesting form. For instance, they are frequently pseudodifferential operators associated with pseudodifferential calculi of intense current study in noncommutative geometry. Conversely, in all multiplicity-one decompositions of representations (e.g. the theta correspondence), the essentially unique intertwining operator, or its symbol, should encode important information on the representation-theoretic decomposition.

However, those operators have received little attention from within operator algebra theory. This meeting will be the occasion to present classical and recent aspects of the theory of intertwining operators and explore the connections between operator algebras and representation theory.

Topics of special interest will include:

• Symmetry breaking operators: special families of intertwining operators between representations of a group and a subgroup. These operators, for Lie groups and algebraic groups over local fields, are the subject of intense study in various settings via analytic, algebraic and geometric methods.
• Concrete study of the intertwining operators appearing in the theta-correspondence over local fields, including interpretations coming from operator algebras and noncommutative geometry.
• Applications of intertwining operators in equivariant index theory and noncommutative geometry, such as K-theoretic constructions based on the BGG complex.

This Thematic Month aims to cover topics related to singularity theory of algebraic or analytic spaces, algebraic study of differential equations, and their applications to questions of transcendence. This 5-week program covers different themes that are often not closely related. One of the main objectives is to make them interact. To encourage participants (especially the youngest ones) to attend the entire month and foster interactions outside each one’s expertise zone, the scientific program of each week of the month will consist of courses accessible to non-experts, as well as more specialized presentations. This month will consist of five successive weeks: – Logarithmic and non-archimedean methods in Singularity Theory. The first week will focus on recent results based on methods in logarithmic geometry and non-archimedean geometry in singularity theory. – Foliations, birational geometry and applications. The second week will cover topics in birational geometry, including singularity resolution, MMP (Minimal Model Program), algebraic foliation theory, and local holomorphic dynamics. – Tame Geometry. The third week will address tame geometry in various forms: o-minimality, transseries, Hardy fields, non-archimedean analogs of tame geometry, and their applications to number theory. – Galois differential Theories and transcendence. The fourth week is devoted to differential Galois theory and its applications to questions of functional transcendence and number theory, as well as the study of periods and E and G-functions. – Enumerative combinatorics and effective aspects of differential equations. The last week is dedicated to enumerative combinatorics and certain effective aspects of differential equations, especially applications in enumerative combinatorics of techniques presented in the previous week, or as effective results on topics covered in the preceding weeks.

The classification of tempered irreducible representations for real reductive groups was completed in the 1970s by Knapp and Zuckerman, following Harish-Chandra's work on the Plancherel formula. But some aspects of the subject are now undergoing a re-examination, following the discovery of new perspectives. C*-algebras and K-theory are valuable tools in Representation Theory, as shown, for instance, by the Mackey bijection. Indeed, it was the Connes-Kasparov isomorphism in K-theory that motivated the search for a natural bijection between the tempered dual of a real reductive group and the unitary dual of its Cartan motion group, as initially suggested by Mackey in the 1970s.

The meeting will focus on recent developments in which K-theoretic ideas have offered new perspectives on the tempered dual for reductive groups or symmetric spaces, and conversely on new approaches to operator-algebraic problems using contemporary tools in representation theory.

Topics will include:

• New approaches to the Mackey bijection through pseudodifferential operator theory, which has itself undergone an extensive conceptual redesign in the past decade, thanks again to C*-algebra and K-theory connections;
• New perspectives on the the Connes-Kasparov isomorphism using Dirac cohomology and cohomological induction;
• Higher orbital intergrals, which make it possible to go beyond the "noncommutative topology of the tempered dual'', hinting at something like the "differential geometry'' of this noncommutative space;
• Study of the Casselman-Schwartz algebras and their K-theory via Paley-Wiener theorems, and connections with the Connes-Kasparov isomorphism;
• C*-algebraic analysis of the tempered dual from the point of view of G as a symmetric space for GxG, and more generally of the tempered spectrum of symmetric spaces.

Harmonic analysis on homogeneous spaces is a fundamental area of research that simultaneously generalizes classical harmonic analysis on groups and on Riemannian symmetric spaces. It naturally relates to many areas of mathematics, playing a central role in representation theory and the theory of automorphic forms.

This workshop will be an occasion to introduce recent developments in some of these areas. It will also aim to explore new connections between them and extend the fruitful interactions between C*-algebras, harmonic analysis and representation theory beyond the classical setting of groups to the general setting of homogeneous spaces.

Topics will include:

• C*-algebraic approaches to the tempered dual of non-Riemannian symmetric spaces;
• Harmonic analysis and Plancherel theory for spherical spaces;
• Connections with the Langlands program and periods of automorphic forms;
• Recent approaches to the theta correspondence via C*-algebras

The conference "Number Theory, Quantum Chaos and their Interfaces” aims at gathering distinguished researchers working in either of the disciplines to discuss recent research advances in these fields, and serve as a playground for the exchange of ideas between these, rather diverse, research communities. Another purpose of our conference is to provide a solid educational platform for more junior researchers who aspire to conduct research in the relevant fields and expose them to some of the outstanding results and open problems.

This is the 37th annual Shanks Conference, focusing on all aspects of constructive function theory and related areas, including orthogonal polynomials, special functions, potential theory, energy optimization, and various problems related to optimization and efficiency.

In recent years, there has been an explosion of activity surrounding algebraic points on curves, from many different perspectives. These include the study of measures of irrationality, isolated and parametrized points, computational methods to determine algebraic points, and the arithmetic statistics of algebraic points. In this workshop, we aim to bring together researchers from these diverse perspectives, with the particular goal of developing bridges between them. The workshop will include overview talks on the various perspectives, research talks, an open problem session, and structured time for collaboration.

The René 25 conference's purpose is to celebrate the research interests of René Schoof.

During the 2025-26 academic year the School will have a special program on Arithmetic Geometry, Hodge Theory, and O-minimality. Jacob Tsimerman, University of Toronto will be the Distinguished Visiting Professor.

The purpose of this special year will focus on recent developments in hodge theory and o-minimality and their applications to arithmetic geometry. There has been much progress over the last 15 years in using transcendental uniformization maps to study arithmetic questions (general shafarevich theorems, results on unlikely intersections, general bounds on rational point counts). It has become increasingly clear that hodge theory (both classical and P-adic) and the resulting period maps form a natural home for these kinds of investigations to arise. In the other direction, O-minimality has been applied with success to make progress on questions in Hodge theory (Griffiths conjecture, definable period maps), and has recently had its own explosion of results (sharply O-minimal sets, the resolution of Wilkie's conjecture).

The goal of this year will be to bring together researchers in these different fields, with the aim of extending the collaboration between areas, share key insights, and investigate how far existing methods can be pushed.

Senior participants: Gal Binaymini, Ben Bakker (to be confirmed), Jonathan Pila and Claire Voisin (STV)