Ruprecht-Karls-Universität Heidelberg
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„Counting saddle connections in a homology class modulo q“
Rene Rühr, Tel Aviv University

Fri Mar 1 ∙ Seminarraum 3 ∙ 11:00 Rene Ruehr (Tel Aviv) Counting saddle connections in a homology class modulo q We give effective estimates for the number of saddle connections on a translation surface that have length less or equal than L and are in a prescribed homology class modulo q. Our estimates apply to almost all translation surfaces in a stratum of the moduli space of translation surfaces, with respect to the Masur-Veech measure on the stratum. This is joint work with Michael Magee, and builds on recent advances by Magee on Selberg's eigenvalue conjecture for moduli spaces of abelian differentials, and Rodolfo Gutierrez-Romo's work on Zorich's conjecture on Zariski-density of Rauzy-Veech groups.

Freitag, den 1. März 2019 um 11:00 Uhr, in INF 205, SR3 Freitag, den 1. März 2019 at 11:00, in INF 205, SR3

Der Vortrag folgt der Einladung von The lecture takes place at invitation by Prof. Dr. Anna Wienhard