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SUMMARY:Laura Monk (IRMA\, Strasbourg)
DTSTART:20201112T153000Z
DTEND:20201112T164500Z
DTSTAMP:20260423T021405Z
UID:BODS/4
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BODS/4/">The
  geometry and spectrum of random hyperbolic surfaces</a>\nby Laura Monk (I
 RMA\, Strasbourg) as part of Bremen Online Dynamics Seminar\n\n\nAbstract\
 nThe main aim of this talk is to present geometric and spectral\npropertie
 s of typical hyperbolic surfaces. More precisely\, I will:\n\n- introduce 
 a probabilistic model\, first studied by Mirzakhani\, which is\na natural 
 and convenient way to sample random hyperbolic surfaces\n\n- describe the 
 geometric properties of these random surfaces: diameter\,\ninjectivity rad
 ius\, Cheeger constant\, Benjamini-Schramm convergence...\n\n- explain how
  one can deduce from this geometric information estimates\non the number o
 f eigenvalues of the Laplacian in an interval $[a\,b]$\,\nusing the Selber
 g trace formula.\n
LOCATION:https://researchseminars.org/talk/BODS/4/
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