Modul:   MAT770  Oberseminar: Algebraische Geometrie

A p-adic 6-Functor Formalism in Rigid-Analytic Geometry

Talk by Dr. Lucas Mann

Speaker invited by: Prof. Dr. Joseph Ayoub

Date: 24.04.23  Time: 13.15 - 14.45  Room: Y27H25

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.