Seminar Zahlentheorie: Jakob Stix (Universität Frankfurt)
Seminarraum 05.001, Spiegelgasse 1
Title: Anabelian Geometry with étale homotopy types
Abstract: Classical anabelian geometry shows that for hyperbolic curves the etale fundamental group encodes the curve provided the base field is sufficiently arithmetic. In higher dimensions it is natural to replace the etale fundamental group by the etale homotopy type. I will report on progress obtained in this direction in joint work with Alexander Schmidt.