Geometric L-packets of toral supercuspidal representations

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

number theory

Audience: researchers in the topic

London number theory seminar

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