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SUMMARY:Claire Burrin (ETH Zurich)
DTSTART:20220214T143000Z
DTEND:20220214T154500Z
DTSTAMP:20260423T053015Z
UID:BODS/27
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BODS/27/">Wi
 ndings of closed geodesics and number theory</a>\nby Claire Burrin (ETH Zu
 rich) as part of Bremen Online Dynamics Seminar\n\n\nAbstract\nIn his 2006
  ICM lecture\, Ghys made the following observation: the winding of a close
 d geodesic around the cusp of the modular surface can be computed using a 
 function from the theory of modular forms\; the Rademacher function. In jo
 int work with Flemming von Essen\, we studied how and when generalizations
  of the Rademacher function also encode the winding for closed geodesics a
 round the cusps of hyperbolic surfaces. For certain families of surfaces\,
  we use a Selberg trace formula argument to obtain precise statistical res
 ults on these winding numbers.\n
LOCATION:https://researchseminars.org/talk/BODS/27/
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