Modern Moduli Theory graduate school

ag.algebraic-geometry rt.representation-theory
Start Date
2017-09-18 
End Date
2017-09-22 
Institution
Oxford University 
City
Oxford 
Country
UK 
Meeting Type
summer school 
Homepage
http://people.maths.ox.ac.uk/~joyce/MMT2017/index.html 
Contact Name
Dominic Joyce, Kevin McGerty, Balazs Szendroi 
Created
 
Modified
 

Description

The Graduate School will consist of lecture series and individual lectures on certain aspects of algebraic geometry and geometric representation theory. Themes within algebraic geometry will include moduli spaces of sheaves on Calabi-Yau manifolds, and more generally moduli spaces of objects in Calabi-Yau categories, especially their derived structures in shifted symplectic geometry and shifted Poisson geometry, following Calaque-Pantev-Toën-Vaquié-Vezzosi. A related set of lectures will discuss different flavours of Donaldson-Thomas invariants including the cohomological Hall algebra approach of Kontsevich-Soibelman. The geometric representation theory strand will focus on Hall algebras and higher Hall algebras, modern analogues of Beilinson-Bernstein localisation, as well as aspects of quantization.

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