Speaker: Andrea Thevis (Saarbrücken)
Title: A Connection Between Origamis and the Theory of p-Groups
Abstract:
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. If time permits, I describe how to compute the Veech groups of \(p\)-origamis. These groups are related to the groups of affine diffeomorphisms of the corresponding surfaces and are finite index subgroups of \(SL(2,Z)\).