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SUMMARY:Anthony Sanchez (University of Washington)
DTSTART:20201211T171500Z
DTEND:20201211T183000Z
DTSTAMP:20260423T053139Z
UID:NEDNT/12
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NEDNT/12/">G
 aps of saddle connection directions for some branched covers of tori</a>\n
 by Anthony Sanchez (University of Washington) as part of New England Dynam
 ics and Number Theory Seminar\n\nLecture held in Online.\n\nAbstract\nHolo
 nomy vectors of translation surfaces provide a geometric generalization fo
 r higher genus surfaces of (primitive) integer lattice points. The countin
 g and distribution properties of holonomy vectors on translation surfaces 
 have been studied extensively. In this talk\, we consider the following qu
 estion: How random are the holonomy vectors of a translation surface? We m
 otivate the gap distribution of slopes of holonomy vectors as a measure of
  randomness and compute the gap distribution for the class of translation 
 surfaces given by gluing two identical tori along a slit. No prior backgro
 und on translation surfaces or gap distributions will be assumed.\n
LOCATION:https://researchseminars.org/talk/NEDNT/12/
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