Algebra/Topology seminar

Speaker: Sebastian Wolf

Title: Pro-étale homotopy types of schemes

Abstract: In this talk, we will introduce a refinement of Artin-Mazur-Friedlander's étale homotopy type of a scheme, using the formalism of condensed mathematics. Furthemore we will explain how this invariant is connected to the Galois-category of a scheme, introduced by Barwick-Glasman-Haine, and explore some consequences of this connection.