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UID:8479@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20241129T160000
DTEND;TZID=Europe/Paris:20241129T170000
DTSTAMP:20241125T111617Z
URL:https://www.i2m.univ-amu.fr/evenements/on-the-spectral-gap-of-the-lapl
 acian-for-random-hyperbolic-surfaces/
SUMMARY:Nalini Anantharama (Collège de France\, Université de Strasbourg)
 : On the spectral gap of the laplacian for random hyperbolic surfaces
DESCRIPTION:Nalini Anantharama: \n\nAlthough there are several ways to ''ch
 oose a compact hyperbolic surface at random''\, putting the Weil-Petersson
  probability measure on the moduli space of hyperbolic surfaces of a given
  topology is certainly the most natural.\n\nThe work of M. Mirzakhani has 
 made possible the study of this probabilistic model: it is one of the only
  model of ''random riemannian manifolds'' where some explicit calculations
  are actually possible. One may thus ask questions about of the geometry a
 nd the spectral statistics of the laplacian of a randomly chosen surface 
 – in analogy with what is usually asked for models of random graphs.\n\n
 I will be interested in the spectral gap of the laplacian for a random com
 pact hyperbolic surface\, in the limit of large genus (j.w. Laura Monk).\n
 \n\n&nbsp\;\n\n&nbsp\;
CATEGORIES:Colloquium
LOCATION:Saint-Charles - Amphi Massiani\, 3 place Victor Hugo\, Marseille\,
  France
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