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Home » HDMP-Weekly Seminar (Part 2): Strata and Veech groups of p-origamis

Seminar

HDMP-Weekly Seminar (Part 2): Strata and Veech groups of p-origamis November 06, 2019 (12:50 PM PST - 01:50 PM PST)
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Location: MSRI: Simons Auditorium
Speaker(s) Andrea Hannah Thevis (Universit├Ąt des Saarlandes)
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We study a certain class of translation surfaces called p-origamis. These surfaces arise as normal covers of the torus with p-groups as deck group. The goal is to classify the types of singularities of p-origamis and to show that these depend in most cases only on the isomorphism class of the deck group. I describe a way to compute the Veech groups of p-origamis. These groups are finite index subgroups of SL(2,Z) and are related to the Teichm├╝ller curves defined by the SL(2,R)-orbits of the surfaces. For certain example series of p-origamis I discuss properties of their Veech groups.

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