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SUMMARY:Geometry of Large Genus Flat Surfaces
DTSTART:20260112T130000Z
DTEND:20260112T141500Z
DTSTAMP:20260309T032900Z
UID:indico-event-15738@indico.math.cnrs.fr
CONTACT:cecile@ihes.fr
DESCRIPTION:Speakers: Elise Goujard (Université de Nantes)\n\nGluing the 
 opposite sides of a square gives a flat torus: a torus endowed with a flat
  metric induced by the Euclidean metric on the square. Similarly\, one can
  produce higher genus surfaces by gluing parallel sides of several squares
 . These "square-tiled surfaces" inherit from the squares a flat metric wit
 h conical singularities. In this talk we will present several recent resul
 ts and conjectures on the large genus asymptotics of these surfaces\, and 
 more generally of some families of flat surfaces (joint work with V. Delec
 roix\, P. Zograf and A. Zorich). We will also see how these results can be
  interpreted in the language of closed curves on surfaces. We will finish 
 with some recent results joint with E. Duryev and I. Yakovlev that should 
 allow to generalize these results to a larger family of flat surfaces.\n 
 \n\nhttps://indico.math.cnrs.fr/event/15738/
LOCATION:Amphithéâtre Léon Motchane (IHES)
URL:https://indico.math.cnrs.fr/event/15738/
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