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Speaker:
Juan Esteban Rodriguez Camargo
Affiliation:
MPIM
Date:
Tue, 06/12/2022 - 16:15 - 18:00
Location:
MPIM Lecture Hall
Parent event:
Arbeitsgemeinschaft Arithmetische Geometrie Contact: Peter Scholze (scholze@mpim-bonn.mpg.de)
(Joint work with Gabriel Dospinescu). In this talk we report some progress in the study of the locally analytic vectors of proétale period sheaves appearing in (rational) p-adic Hodge theory. The most important example for us will be local Shimura varieties, in particular those arising from a local Shimura datum (G,b,μ) with b basic. We focus our attention in the Lubin-Tate and Drinfeld tower, obtaining as a consequence that the Jacquet-Langlands functor of Scholze is compatible with the passage to locally analytic vectors.
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