Department of Mathematics,
University of California San Diego
****************************
Math 209 - Number Theory
Jake Postema
UC San Diego
Higher Smooth Duals for Mod p Representations of Algebraic Groups
Abstract:
The Local Langlands program and its variants have lead to the study of smooth, admissible representations of p-adic algebraic groups. The degree to which these are understood depends on the field over which the representations are being taken. Over a field of characteristic p, the usual dual in the category of smooth representations gives less information: in most cases of interest, it is 0! Kohlhaase has defined candidates-the higher duality functors-for a useful replacement. We will go over their properties, and some examples in rank one where they can be computed.
Host: Number Theory Group
March 14, 2019
2:00 PM
AP&M 7321
****************************