Time: 15:00-16:00, Wednesday, October 30, 2024
Venue: E10-215, Yungu Campus
Speaker: Emmanuel Lepage, University Paris-Saclay
Title: Analytic method in p-adic anabelian geometry
Abstract: Anabelian geometry is concerned with the reconstruction of geometric data from fundamental groups. More specifically, I will discuss in this talk how objects from p-adic analytic geometry such as Berkovich spaces can be used in the anabelian study of curves over p-adic fields. In particular, such methods inspired the recent proof of the absolute anabelian conjecture for hyperbolic curves over p-adic local fields by Mochizuki and Tsujimura. I will also give applications to the anabelian study of hyperbolic curves over algebraically closed field in mixed characteristics, where combinatorial data on the dual graphs of the stable reductions of every étale cover are added to the étale fundamental group as anabelian data.
