p-adic cohomology of the Drinfeld half-space

p-adic cohomology of the Drinfeld half-space

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Wieslawa Niziol, ENS de Lyon
Fine Hall 1201

I will present a computation of the integral p-adic etale cohomology of the Drinfeld half-space. Via integral p-adic Hodge Theory of Bhatt-Morrow-Scholze this reduces to a computation of the integral de Rham cohomology and this can be done explicitly because the special fiber of the standard integral model of the Drinfeld half-space is pro-ordinary. This is a joint work with Pierre Colmez and Gabriel Dospinescu.