Hauptseminar Geometrie

An abelian differential is a pair consisting of a Riemann surface X of genus g and an holomorphic differential ω on X. Every differential form has 2g−2 zeros counted with multiplicities. For every positive partition $(k^1,...,k_n)$ of 2g−2, we denote by $ΩM_g(k_1,...,k_n)$ the moduli space of abelian differentials having n zeros of respective order $k_i$. In this talk, I will introduce a compactification of these strata inspired by the Deligne-Mumford compactification of the moduli space of all abelian differential. Moreover, I will describe explicitly the closure of every stratum in this compactification.

This is joint work with M. Bainbridge, D. Chen, S. Grushevsky and M. Möller.

Donnerstag, den 26. November 2015 um 12:00 Uhr, in INF288, HS5 Donnerstag, den 26. November 2015 at 12:00, in INF288, HS5

Der Vortrag folgt der Einladung von The lecture takes place at invitation by Professor Anna Wienhard