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UID:20250812T113436EDT-269905v44N@132.216.98.100
DTSTAMP:20250812T153436Z
DESCRIPTION:Title: How do you efficiently chop a hyperbolic surface in two?
 \n\nAbstract: The Cheeger constant of a Riemannian manifold measures how h
 ard it is to cut out a large part of the manifold. If the Cheeger constant
  of a manifold is large\, then\, through Cheeger’s inequality\, this impli
 es that Laplacian of the manifold has a large spectral gap. In this talk\,
  I will discuss how large Cheeger constants of hyperbolic surfaces can be.
  In particular\, I will discuss recent joint work with Thomas Budzinski an
 d Nicolas Curien in which we prove that the Cheeger constant of a closed h
 yperbolic surface of large genus cannot be much larger than 2/pi (approxim
 ately 0.6366). This in particular proves that there is a uniform gap betwe
 en the maximal possible Cheeger constant of a hyperbolic surface of large 
 enough genus and the Cheeger constant of the hyperbolic plane (which is eq
 ual to 1).\n\n \n\n Visit the Website: https://archimede.mat.ulaval.ca/agi
 rouard/SpectralClouds/\n
DTSTART:20221003T160000Z
DTEND:20221003T170000Z
SUMMARY:Bram Petri\, Sorbonne Université
URL:/mathstat/channels/event/bram-petri-sorbonne-unive
 rsite-342424
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