Integral line bundles of weight -1 on the Drinfeld half-plane and De Rham representations

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• Damien Junger, Universitat Munster
• Wednesday 14 February 2024, 16:30-17:30
• MR12.

If you have a question about this talk, please contact Adam Jones.

The study of the l-adic cohomology of the Drinfeld symmetric space and its coverings was central to exhibit geometric realizations of the classical local Langlands and Jacquet-Langlands correspondences. On the other hand, inspired by the paper of Dospinescu-Le Bras, the study of the coherent cohomology of equivariant vector bundles should allow us to realize some aspects of the p-adic local Langlands correspondence. More precisely, we will explain a work in progress which exhibits a class of equivariant line bundles “of weight -1” that should provide a geometric realization of some de Rham Galois representations of Hodge-Tate weights (0,0).

This talk is part of the Algebra and Representation Theory Seminar series.

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