Flag varieties and representations of p-adic groups

Algebra and Number Theory Seminar
Event time: 
Tuesday, October 5, 2021 - 4:30pm
Charlotte Chan
Speaker affiliation: 
University of Michigan
Event description: 

Deligne--Lusztig varieties are subvarieties of flag varieties whose cohomology encodes the representations of reductive groups over finite fields. These give rise to so-called "depth-zero" supercuspidal representations of p-adic groups. In this talk, we discuss geometric constructions of positive depth supercuspidal representations and the implications of such realizations towards the Langlands program. This is based on joint work with A. Ivanov and on joint work with M. Oi.

Research Area(s):