Continuous group cohomology and Ext-groups

Paulina Fust (Duisburg-Essen)

24-Feb-2022, 22:00-23:00 (2 years ago)

Abstract: We prove that the continuous cohomology groups of a $p$-adic reductive group with coefficients in an admissible unitary $\mathbb{Q}_p$-Banach space representation $\Pi$ are finite-dimensional and compare them to certain Ext-groups. As an application of this result, we show that the continuous cohomology of $SL_2(\mathbb{Q}_p) $ with values in non-ordinary irreducible $\mathbb{Q}_p$-Banach space representations of $GL_2(\mathbb{Q}_p)$ vanishes.

number theory

Audience: researchers in the topic


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
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