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SUMMARY:Geometry of random hyperbolic and flat surfaces of large complexit
 y [MPIM]
DTSTART:20260702T140000Z
DTEND:20260702T153000Z
DTSTAMP:20260618T120300Z
UID:indico-event-1412@math-events.uni-bonn.de
DESCRIPTION:Speakers: Anton Zorich (Institute of Mathematics of Jussieu/MP
 IM)\n\nOberseminar Differentialgeometrie\nConsider a random hyperbolic sur
 face of large genus (where "random" is understood in terms of the Weil-Pet
 ersson volume on the moduli space). We know its curvature and its area\, b
 ut what can be said about its diameter\, systole\, Cheeger constant\, firs
 t nonzero eigenvalue of the Laplacian?Following pioneering works of Maryam
  Mirzakhani a lot of progress was obtained in recent years in unveiling ge
 ometry of random hyperbolic surfaces of large genus or of fixed genus but 
 with many cusps. After a presentation of selected recent results of my col
 leagues concerning hyperbolic geometry\, I will announce the first results
  on geometry of random flat surfaces where "random" is understood in terms
  of the Masur--Veech volume on the moduli space of quadratic differentials
  in large genus or in genus zero but with large number of poles.\n \nBase
 d on joint work in progress with Giovanni Forni and Kasra Rafi.\n\nhttps:/
 /math-events.uni-bonn.de/event/1412/
LOCATION:MPIM\, Vivatsgasse\,  7 - Seminar Room (Max Planck Institute for 
 Mathematics)
URL:https://math-events.uni-bonn.de/event/1412/
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