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SUMMARY:Divergent Geodesics in Hyperbolic Manifolds and  Arithmetic Applic
 ations
DTSTART:20251110T130000Z
DTEND:20251110T141500Z
DTSTAMP:20260611T075200Z
UID:indico-event-15175@indico.math.cnrs.fr
CONTACT:cecile@ihes.fr
DESCRIPTION:Speakers: Frédéric Paulin (LMO\, Université Paris-Saclay)\n
 \nWe give an asymptotic formula for the number of common perpendiculars wi
 th length tending to infinity between two divergent geodesics in finite vo
 lume real hyperbolic manifolds\, presenting a surprising non-purely expone
 ntial growth. We apply this result to count ambiguous geodesics in the mod
 ular curve\, recovering results of Sarnak\, and to prove a conjecture of M
 otohashi on the binary additive divisor problem in imaginary quadratic num
 ber fields. This is joint work with Jouni Parkkonen.\n \n\nhttps://indico
 .math.cnrs.fr/event/15175/
LOCATION:Amphithéâtre Léon Motchane (IHES)
URL:https://indico.math.cnrs.fr/event/15175/
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