18 Marzo 2024 15:00 CET Aula seminari - III piano
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.

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