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The pro-étale cohomology of Drinfeld's upper half space
Published 28 Aug 2019 in math.NT, math.AG, and math.RT | (1908.10591v1)
Abstract: We determine the geometric pro-\'etale cohomology of Drinfeld's upper half space ${\mathcal X}$ over a p-adic field. The strategy is different from the one given by Colmez, Dospinescu and Niziol. It uses the approach developed in a former paper of the author describing global sections of equivariant vector bundles on ${\mathcal X}$.
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