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SUMMARY:Windings of closed geodesics and number theory
DTSTART:20220404T151500
DTEND:20220404T164500
DTSTAMP:20260429T231934Z
UID:f9180d620c793cd37ca41deb50cdd4f6bdfa92d4e75131d69fda9fd7
CATEGORIES:Conferences - Seminars
DESCRIPTION:Claire Burrin (University of Zürich)\nThe winding of a closed
  geodesic around the cusp of the modular surface can be computed using a f
 unction from the theory of modular forms: the Rademacher function. In join
 t work with Flemming von Essen\, we study how and when generalizations of 
 the Rademacher function also encode the winding for closed geodesics aroun
 d the cusps of hyperbolic surfaces. For certain families of surfaces\, we 
 use a Selberg trace formula argument to obtain precise statistical results
  on these winding numbers.
LOCATION:CM 0 10 https://plan.epfl.ch/?room==CM%200%2010
STATUS:CONFIRMED
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