The integral geometric Satake equivalence in mixed characteristic
Jize Yu (California Institute of Technology)
Abstract: The geometric Satake equivalence establishes a link between two monoidal categories: the category of perverse sheaves on the local Hecke stack and the category of finitely generated representations of the Langlands dual group. It has many important applications in the study of the geometric Langlands program and number theory. In this talk, I will discuss the integral coefficient geometric Satake equivalence in the mixed characteristic setting. It generalizes the previous results of Lusztig, Ginzburg, Mirkovic-Vilonen, and Zhu. Time permitting, I will discuss an application of this result in constructing a Jacquet-Langlands transfer.
number theory
Audience: researchers in the topic
Comments: There will be a pretalk.
Series comments: Most talks are preceded by a pre-talk for graduate students and postdocs. The pre-talks start 40 minutes prior to the posted time (usually at 1:20pm Pacific) and last about 30 minutes.
| Organizers: | Kiran Kedlaya*, Alina Bucur, Aaron Pollack, Cristian Popescu, Claus Sorensen |
| *contact for this listing |