Geometrization of the local Langlands program
- Start Date
- 2019-05-06
- End Date
- 2019-05-10
- Institution
- McGill University
- City
- Montreal, QC
- Country
- Canada
- Meeting Type
- conference
- Homepage
- http://www.math.mcgill.ca/~goren/GEOM_LL.html
- Contact Name
- Created
- Modified
Description
The Langlands program links automorphic forms and Galois representations (of a local or global field). In contrast, the geometric Langlands program takes a curve X over the complex numbers, and links the moduli space of vector bundles on X to local systems on X. There is a tidy analogy between the two programs, but generally, researchers in the two programs do not interact.
A beautiful program initiated by Fargues reveals the unity of the two programs over the field of p-adic numbers. In this program, the role of X is played by the Fargues-Fontaine curve. The goal of this meeting is to master the tools required to understand Fargues' suite of conjectures.
Due to limited space, participation is by invitation only.
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