Intersections of components of Emerton-Gee stack for $\mathrm{GL}_2$

Kalyani Kansal (Johns Hopkins)

10-Nov-2022, 22:00-23:00 (17 months ago)

Abstract: The Emerton-Gee stack for $\mathrm{GL}_2$ is a stack of $(\varphi, \Gamma)$-modules whose reduced part $\mathcal{X}_{2, \mathrm{red}}$ can be viewed as a moduli stack of mod $p$ representations of a $p$-adic Galois group. We compute criteria for codimension one intersections of the irreducible components of $\mathcal{X}_{2, \mathrm{red}}$, and interpret them in sheaf-theoretic terms. We also give a cohomological criterion for the number of top-dimensional components in a codimension one intersection.

number theory

Audience: researchers in the topic

( paper )

Comments: 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
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