Geometric L-packets of toral supercuspidal representations

Abstract: In 2001, Yu gave an algebraic construction of supercuspidal representations of p-adic groups. There has since been a lot of progress towards explicitly constructing the local Langlands correspondence for supercuspidal representations: Kazhdan-Varshavsky and DeBacker-Reeder (depth zero), Reeder and DeBacker-Spice (toral), and Kaletha (regular). In this talk, we present recent and ongoing work investigating a geometric counterpart to this story. This is based on joint work with Masao Oi.

Mathematics

Audience: researchers in the topic

Southern California Number Theory Day

Series comments: In-person participants must register via the conference website.