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DTSTART:20200329T010000
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DTSTART;TZID=Europe/Rome:20200617T170000
DTEND;TZID=Europe/Rome:20200617T180000
DTSTAMP:20200807T232436
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SUMMARY:Sunrose Shrestha (Tufts University\, USA)
DESCRIPTION:Speaker: Sunrose Shrestha (Tufts University\, USA) \nTitle: The topology and geometry of random square-tiled surfaces \nAbstract: A square-tiled surface (STS) is a branched cover of the standard square torus with branching over exactly one point. They are concrete examples of translation surfaces which are an important class of singular flat metrics on 2-manifolds with applications in Teichmüller theory and polygonal billiards. In this talk we will consider a randomizing model for STSs based on permutation pairs and use it to compute the genus distribution. We also study holonomy vectors (Euclidean displacement vectors between cone points) on a random STS. Holonomy vectors of translation surfaces provide coordinates on the space of translation surfaces and their enumeration up to a fixed length has been studied by various authors such as Eskin and Masur. In this talk\, we obtain finer information about the set of holonomy vectors\, Hol(S)\, of a random STS. In particular\, we will see how often Hol(S) contains the set of primitive integer vectors and find how often these sets are exactly equal. \n
URL:https://www.dinamici.org/event/sunrose-shrestha-tufts-university-usa/
LOCATION:Seminar is over: see YouTube recording
CATEGORIES:DAI Seminar
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