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A p-Adic 6-Functor Formalism on Rigid-Analytic Varieties

May 4, 2023 at 14:1515:15 CEST

Lucas Mann (Münster)

Abstract: Using Clausen-Scholze’s theory of condensed mathematics, we construct a full 6-functor formalism for p-adic sheaves on rigid-analytic varieties. As a special case of this formalism we obtain Poincaré duality for the étale F_p-cohomology of smooth proper rigid-analytic varieties. By applying the formalism to classifying stacks of p-adic groups, we obtain new insights into the p-adic Langlands program.

Details

Date:
May 4, 2023
Time:
14:15 – 15:15 CEST

Venue

Mainz, Hilbertraum (05-432)