中央研究院數學研究所

Towards affine character sheaves II: Categorical input

2026/03/18 (Wed.) 13:30~15:00

Date : 2026/03/18 (Wed.) 13:30~15:00
Location : Seminar Room 617, Institute of Mathematics (NTU Campus)
Speaker : Aron Heleodoro (Shanghai Institute for Mathematics and Interdisciplinary Sciences)
Organizer : Cheng-Chiang Tsai (AS)
Abstract :
In the second talk, I will present the formal constructions that allow for an extension of the theory of (ind-)constructible \ell-adic \'etale sheaves from schemes of finite type to the geometric objects that include \frac{LG}{LG}. Then I will give an idea of how using geometry one is able to identify the categorical trace of the affine Hecke category with a subcategory of LG-equivariant sheaves on LG. Finally, I will put this together with the stratification and reduction result of the first talk to sketch a second definition of affine character sheaves.