Seminar des SFB/TRR 326 GAUS

Sebastian Wolf (M.Sc.), Universität Regensburg

For a scheme $X$, we will introduce the so called Galois category $\operatorname{Gal}(X)$ of $X$ due to Barwick, Glasman and Haine. Its objects are geometric points of $X$ and its morphisms are étale specializations of such. It is naturally equipped with a pro-finite topology and plays the role of an étale version of an exit-path category: Continuous representations of $\operatorname{Gal}(X)$ with values in finite sets are equivalent to constructible étale sheaves on $X$. After recalling the necessary ingredients, we will discuss how one can use the language of condensed/ pyknotic mathematics to generalize the exodromy equivalence to a much larger class of sheaves on $X$.

Freitag, den 17. Dezember 2021 um 13:30 Uhr, in INF 205, SR A Freitag, den 17. Dezember 2021 at 13:30 , in INF 205, SR A

Der Vortrag folgt der Einladung von The lecture takes place at invitation by Dr. Christian Dahlhausen