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p-adic period domains and their cohomology
Gabriel Dospinescu(ENS Lyon)
Wendesday, 17.Apr.2019, 14:15--15:15  闵行数学楼402报告厅

Abstract: We will explain work in progress with Colmez, Hauseux and Niziol, describing the compactly supported p-adic étale cohomology of many p-adic period domains. The proof is an adaptation of Orlik's computation of the l-adic cohomology, combined with a vanishing result for extensions between mod p generalized Steinberg representations of p-adic reductive groups.