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SUMMARY:Anthony Sanchez (University of Washington)
DTSTART:20201030T161500Z
DTEND:20201030T173000Z
DTSTAMP:20260423T021429Z
UID:NEDNT/7
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NEDNT/7/">Ga
 ps of saddle connection directions for some branched covers of tori</a>\nb
 y Anthony Sanchez (University of Washington) as part of New England Dynami
 cs and Number Theory Seminar\n\nLecture held in Online.\n\nAbstract\nConsi
 der the class of translation surfaces given by gluing two identical tori a
 long a slit. Every such surface has genus two and two cone-type singularit
 ies of angle $4\\pi$. There is a distinguished set of geodesics called sad
 dle connections that are the geodesics between cone points. We can recover
  a vector in the plane representing the saddle connection by keeping track
  of the amount that the saddle connection moves in the vertical and horizo
 ntal direction. How random is the set of saddle connections? \nWe motivate
  the gap distribution of slopes as a measure of randomness and compute the
  gap distribution of slopes of saddle connections for the class of transla
 tion surfaces given by gluing two identical tori along a slit.\n
LOCATION:https://researchseminars.org/talk/NEDNT/7/
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