This workshop will focus on geometric Satake correspondence, its generalizations and applications. As the classical Satake correspondence is the starting point of the classical Langlands duality, the geometric Langlands program is based on the geometric Satake correspondence. However, its relations and applications to other mathematical subjects go far beyond the original scope. The workshop will in particular touch on the following topics
--Applications to the classical Langlands program, in particular the recent construction of spectral operators acting on automorphic forms/sheaves, pioneered by V. Lafforgue.
--Applications to modular representation theory of algebraic groups and related topics (such as Koszul duality for Kac-Moody groups and categorification of affine Hecke algebras).
--Relations with topics in mathematical physics such as mirror symmetry, gauge theory, etc. In particular, applications of Geometric Satake correspondence to recent development on mathematical definition of Coulomb branches.
—Various other generalizations, such as Satake isomorphism for Kac-Moody groups and related topics (such as double affine Hecke algebras).
During the workshop, we hope to bring together experts working on these subjects to further discuss the application of Geometric Satake in representation theory and its interaction with other domains.
|Bangming Deng||Tsinghua University, China|
Tsinghua University, China
|Zhiwei Yun||Yale University, USA|
California Institute of Technology, USA