Zhongguancun Number Theory Colloquium
发布时间：2025年10月23日
浏览次数：9
发布者: He Liu
活动时间： 从 2025-10-24 15:00 到 17:30
场地： 北京国际数学研究中心，镜春园82号甲乙丙楼报告厅
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.
