Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Status Confirmed
Seminar Series MATH-IHES
Subjects math
Date Thursday 16 January 2025
Time 11:00
Institute IHES
Seminar Room Amphithéâtre Léon Motchane
Speaker's Last Name Xu
Speaker's First Name Daxin
Speaker's Email Address
Speaker's Institution Morningside Center of Mathematics, Chinese Academy of Sciences & IHES
Title Frobenius Structure on Theta Connections and Epipelagic Langlands Parameters
Abstract In this talk, we first review the local monodromy at infinity of the Bessel F-isocrystals following Dwork, Sperber. Then we explain a generalization of this story for theta connections. Theta connections are certain rigid connections over $P^1$ minus two points, related to epipelagic representations under the geometric Langlands correspondence. As an application, we verify a conjecture of Reeder-Yu on the epipelagic Langlands parameters under some technical conditions. The talk is based on my joint work with Xinwen Zhu and a work in progress with Lingfei Yi.
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