EVENT DETAILS AND ABSTRACT

Title: Equivalences of Hecke Categories with deeper level structure
Speaker: Jianqiao Xia
Speaker Info: Harvard University
Brief Description:
Special Note:
Abstract:

Inspired by the study of positive depth representations of p-adic reductive groups, we study Hecke categories associated to certain open compact subgroups smaller than the Iwahori subgroup. In this talk, I will prove that in some cases these Hecke categories are monoidally equivalent to affine Hecke categories (depth 0) of smaller groups. For principal series, these generalize the equivalences of Kamgapour and Schedler. On the function level, our result recovers a family of Hecke algebra isomorphisms already proven by Ju-Lee Kim. The categorical equivalences should be an important ingredient of the ramified categorical local Langlands conjecture.