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SUMMARY:Exact curve counting on the once-punctured torus
DTSTART:20260909T120000Z
DTEND:20260909T130000Z
DTSTAMP:20260918T175100Z
UID:indico-event-17206@indico.math.cnrs.fr
DESCRIPTION:Speakers: Mingkun Liu (X)\n\nTwo closed curves on a surface ar
 e said to have the same topological type if they lie in the same mapping c
 lass group orbit. Mirzakhani first showed that\, on a hyperbolic surface\,
  the number of closed geodesics of a given topological type of length at m
 ost L is asymptotically proportional to L^{6g-6}. In this talk\, we will f
 ocus on the case of the once-punctured torus. Rather than using hyperbolic
  length\, we will count curves according to their word length. In this set
 ting\, it turns out that exact counting formulas can be obtained. This is 
 joint work with Filippo Baroni and David Fisac.\n\nhttps://indico.math.cnr
 s.fr/event/17206/
LOCATION:Salle Maurice Fréchet (IHP - Bâtiment Borel)
URL:https://indico.math.cnrs.fr/event/17206/
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