Resolutions of locally analytic principal series representations of GL_2(F)

Aranya Lahiri (Indiana University)

14-Jan-2021, 22:00-23:00 (3 years ago)

Abstract: Locally analytic representations of $p$-adic analytic groups have played a crucial role in many areas of arithmetic and representation theory (including in $p$-adic local Langlands program) since their introduction by Schneider and Teitelbaum. In this talk we will briefly review some aspects of the theory of locally analytic representations. Then, for a locally analytic representation $V$ of $GL_2(F)$ we will construct a coefficient system attached to the Bruhat-Tits tree of $Gl_2(F)$. Finally we will use this coefficient system to construct a resolution for locally analytic principal series of $GL_2(F)$.

number theory

Audience: advanced learners

( paper )

Comments: pre-talk at 1:30. I will discuss basics and some key examples of locally analytic representations in the pre-talk.


UCSD number theory seminar

Series comments: Most talks are preceded by a pre-talk for graduate students and postdocs. The pre-talks start 40 minutes prior to the posted time (usually at 1:20pm Pacific) and last about 30 minutes.

Organizers: Kiran Kedlaya*, Alina Bucur, Aaron Pollack, Cristian Popescu, Claus Sorensen
*contact for this listing

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