2:00 pm Tuesday, February 25, 2014
Jr. Algebra, Number Theory, and Combinatorics: Representation Theory for p-adic GL(n) and Zeta Integrals, Part 1 by Gil Moss (UT Austin) in RLM 9.166
On Tuesday, we will discuss the representation theory of GL(n) over a p-adic field and the Bernstein-Zelevinsky "derivative" functors, which give a classification of these representations in terms of a particular special subgroup. On Thursday we will discuss how these tools can be used to interpret local zeta factors using representation theory. This angle gives a cleaner proof of a 1983 result of Jacquet, Piatetski-Shapiro, and Shalika on local zeta factors in characteristic 0, and extends it to representations over fields of any characteristic not equal to p. Submitted by
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