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SUMMARY:Bridges Between Flat and Hyperbolic Enumerative Geometry
DTSTART;VALUE=DATE-TIME:20190611T123000Z
DTEND;VALUE=DATE-TIME:20190611T134500Z
DTSTAMP;VALUE=DATE-TIME:20190719T204428Z
UID:indico-event-4731@indico.math.cnrs.fr
DESCRIPTION:I will give a formula for the Masur-Veech volume of the moduli
space of quadratic differentials in terms of psi-classes (in the spirit o
f Mirzakhani's formula for the Weil-Peterson volume of the moduli space of
hyperbolic surfaces). I will also show that Mirzakhani's frequencies of s
imple closed hyperbolic geodesics of different combinatorial types coincid
e with the frequencies of the corresponding square-tiled surfaces. I will
conclude with a (mostly conjectural) description of the geometry of a "ran
dom" square-tiled surface of large genus and of a "random" multicurve on a
topological surface of large genus.\n\nThe talk is based on joint work in
progress with V. Delecroix\, E. Goujard and P. Zograf. It is aimed at a b
road audience\, so I will try to include all necessary background.\n\nhttp
s://indico.math.cnrs.fr/event/4731/
LOCATION:IHES Amphithéâtre Léon Motchane
URL:https://indico.math.cnrs.fr/event/4731/
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