Locally analytic completed cohomology

J. E. Rodríguez Camargo

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arXiv · 2209.01057

Locally analytic completed cohomology

J. E. Rodríguez Camargo

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Abstract

We compute the geometric Sen operator for arbitrary Shimura varieties in terms of equivariant vector bundles of flag varieties and the Hodge-Tate period map. As an application, we obtain the rational vanishing of completed cohomology in the Calegari-Emerton conjectures.

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J. E. Rodríguez Camargo. 2022-08-30. Locally analytic completed cohomology. https://arxiv.org/abs/2209.01057

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