Geometrization of the local Langlands program

ag.algebraic-geometry nt.number-theory rt.representation-theory
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
 

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.

Problems?

If you notice a problem with this entry, please contact the curators by email.