March 18, 2024 3 p.m. CET Seminar room - 3rd floor
Gianluca Faraco Università degli Studi di Milano-Bicocca

Translation surfaces with poles and their moduli spaces

Abstract On a Riemann surface $X$, every meromorphic abelian differential determines a translation surface and a representation $\chi:\pi_1(X)\to\mathbb{ℂ}$ called period character. In this seminar we shall talk about strata of meromorphic differential with prescribed zeros and poles. Strata admit a natural foliation in which every leaf comprises translation surfaces with the same period character. In the special case of $H(1,1;−2)$ each leaf is homeomorphic to the Loch Ness monster and it carries itself a transition structure.

© 2021 GAA@polimi Generated with Hugo and inspired by Resume theme Last update: June 14, 2024