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SUMMARY:Integral line bundles of weight -1 on the Drinfeld half-plane and 
 De Rham representations - Damien Junger\, Universitat Munster
DTSTART:20240214T163000Z
DTEND:20240214T173000Z
UID:TALK210853@talks.cam.ac.uk
CONTACT:Adam Jones
DESCRIPTION:The study of the l-adic cohomology of the Drinfeld symmetric s
 pace and its coverings was central to exhibit geometric realizations of th
 e classical local Langlands and Jacquet-Langlands correspondences. On the 
 other hand\, inspired by the paper of Dospinescu-Le Bras\, the study of th
 e coherent cohomology of equivariant vector bundles should allow us to rea
 lize some aspects of the p-adic local Langlands correspondence. More preci
 sely\, we will explain a work in progress which exhibits a class of equiva
 riant line bundles "of weight -1" that should provide a geometric realizat
 ion of some de Rham Galois representations of Hodge-Tate weights (0\,0).
LOCATION:MR12
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