p-adic étale cohomology of period domains

Abstract: I will show how to compute $p$-adic étale cohomology with compact support of period domains over local fields in the case of a basic isocrystal for quasi-split reductive groups. This follow the method used by Orlik in his computations of the $\ell$-adic étale cohomology using as a key new input the computation of Ext groups between mod-$p$ generalized Steinberg representations of $p$-adic groups. This is a joint work with Colmez, Dospinescu, and Hauseux.

commutative algebraalgebraic geometrynumber theory

Audience: researchers in the topic

Recent Advances in Modern p-Adic Geometry (RAMpAGe)

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