|
Status |
Confirmed |
|
Seminar Series |
MATH-IHES |
|
Subjects |
math |
|
Date |
Tuesday 11 June 2019 |
|
Time |
14:30 |
|
Institute |
IHES |
|
Seminar Room |
Amphithéâtre Léon Motchane |
|
Speaker's Last Name |
Zorich |
|
Speaker's First Name |
Anton |
|
Speaker's Email Address |
|
|
Speaker's Institution |
IMJ-PRG |
|
Title |
Bridges Between Flat and Hyperbolic Enumerative Geometry |
|
Abstract |
: 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 of Mirzakhani's formula for the Weil-Peterson volume of the moduli space of hyperbolic surfaces). I will also show that Mirzakhani's frequencies of simple closed hyperbolic geodesics of different combinatorial types coincide with the frequencies of the corresponding square-tiled surfaces. I will conclude with a (mostly conjectural) description of the geometry of a "random" square-tiled surface of large genus and of a "random" multicurve on a topological surface of large genus.
The talk is based on joint work in progress with V. Delecroix, E. Goujard and P. Zograf. It is aimed at a broad audience, so I will try to include all necessary background.
|
|
arXiv Preprint Number |
|
|
Comments |
Séminaire Géométrie et groupes discrets |
|
Attachments |
|
