Intersections of components of Emerton-Gee stack for $\mathrm{GL}_2$
Kalyani Kansal (Johns Hopkins)
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
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Organizers: | Kiran Kedlaya*, Alina Bucur, Aaron Pollack, Cristian Popescu, Claus Sorensen |
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