Philadelphia Area Number Theory Seminar

Wednesday, April 26, 2023 - 2:30pm

Kalyani Kansal

Johns Hopkins University

The Emerton-Gee stack for GL2 is a stack of (φ, Γ)-modules of rank two. Its reduced part, X, is an algebraic stack of finite type over a finite field, and it 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 X. We interpret these criteria in terms motivated by conjectural categorical p-adic and mod p Langlands correspondence. We also give a cohomological criterion for the number of top-dimensional components in a codimension one intersection.