Zhongguancun Number Theory Colloquium
Time: 2025-10-23
Published By: He Liu
Time: October 24, 2025
Venue: Lecture Hall, Jiayibing Building, Jingchunyuan 82, BICMR
15:00-16:00 Lingfei Yi 易灵飞 (Fudan University)
Title: A local geometric Langlands between toral supercuspidal representations and irreducible isoclinic formal connections.
Abstract：We establish in the de Rham setting a correspondence between irreducible isoclinic formal connections with toral supercuspidal representations originally constructed by Adler. The correspondence can be formulated for more general supercuspidal representations using Yu's data. As applications, we confirm some predictions on the Langlands parameters of some supercuspidal representations with small depths in the positive characteristic.
16:30-17:30 Penghui Li 李鹏辉 (Tsinghua University)
Title: Triangular numbers, square numbers and Langlands duality.
Abstract: We study cuspidal part of the categorical trace of the affine Hecke category. Motivated by geometric Langlands for 3 manifold, we expect this cuspidal part is self dual under Langlands duality. We verify the type B, C case, which comes down to an interesting equation about triangular and square numbers. This talk is based on joint work with Dragos Fratila and Sam Gunningham.
