Orateur
Gabriel Dospinescu
Description
We will explain how to adapt Orlik's computation of the compactly supported l-adic cohomology of many p-adic period domains (l different from p) to the case l=p. The key input is a vanishing theorem for extensions between generalized Steinberg representations of p-adic reductive groups, with coefficients mod p. This is joint work with Pierre Colmez, Julien Hauseux and Wieslawa Niziol.