Carlos Matheus (École Polytechnique)

Title:

Schottky groups and Berkovich spaces

Abstract:

The notion of Schottky groups was introduced in 1877, and it was famously used in 1910 by Koebe to uniformise all compact Riemann surfaces. As it turns out, Schottky groups are stable under small deformations and they can be studied thanks to the dynamics and geometry of their limit sets. 

In this talk, we shall discuss a particular instance of large deformations of Schottky groups (called symmetric 3-funnels) investigated by McMullen in 1998. In particular, we will see how Dang-Mehmeti and Li-M.-Pan-Tao were able in 2024 to extend and refine McMullen's results by connecting them to the geometry of Mumford curves uniformised by Schottky groups acting on Berkovich projective lines over the non-Archimedean field of Laurent series. 

Schedule:

10:00 - 11:30 RTG Lecture 2 (Tommaso Scognami)   | COS, INF 231, Kleiner Hörsaal

11:30 - 12:00 Get-Together with speaker | COS, INF 231, Kleiner Hörsaal

12:00 - 13:00 Common lunch | reserved at BräuStadel

13:00 - 13:30 Informal meeting of PhD students |  EG, Seminarraum C

13:30 -14:30 RTG colloquium: Carlos Matheus |  EG, Seminarraum C

14:30 - 15:15 Common tea |  Foyer im Untergeschoss

15:15 - 16:45 RTG Lecture 1 (Roman Sauer)  | COS, INF 231, Kleiner Hörsaal

HD