MATH Seminar: “Minimal positive depth representations for p-adic groups of rank one”, Philip Barron, 3:30PM April 3 (EN)

You are cordially invited to the Algebra Seminar organized by the Department of Mathematics.

Speaker: Philip Barron (Bar-Ilan University)
“Minimal positive depth representations for p-adic groups of rank one”

Abstract: Gross, Reeder, and Yu have studied a class of supercuspidal representations of p-adic groups which they call epipelagic — those slightly deeper than the surface (depth zero). In this talk, we will systematically study the epipelagic representations of minimal positive depth for p-adic groups of semisimple rank one. These are the groups for which the Bruhat-Tits building is a tree. For such groups, we provide a simplified proof that all minimal positive depth supercuspidals arise via compact induction, and we will explicitly describe the orbits that provide such induction data.

Date: Monday, April 3, 2023
Time: 15:30 – 16:30
Place: SA141 – Mathematics Seminar Room