Dear geometers,
Shmuel Weinberger and I are continuing the biweekly seminar series, "Topology and geometry: extremal and typical". It runs at 9am Pacific time / noon Eastern time on Mondays. If you want to receive seminar announcements including Zoom links, please
sign up for the mailing list:
Our first talk this semester will be on Monday, January 11 by Sahana Vasudevan (MIT):
Large genus bounds for the distribution of triangulated surfaces in moduli space
Triangulated surfaces are compact hyperbolic Riemann surfaces that admit a conformal triangulation by equilateral triangles. They arise naturally in number theory as Riemann surfaces defined over number fields, in probability theory as conjecturally related
to Liouville quantum gravity, and in metric geometry as a model to understand arbitrary hyperbolic surfaces. Brooks and Makover started the study of the geometry of random large genus triangulated surfaces. Mirzakhani later proved analogous results for random
hyperbolic surfaces. These results, along with many others, suggest that the geometry of triangulated surfaces mirrors the geometry of arbitrary hyperbolic surfaces especially in the case of large genus asymptotics. In this talk, I will describe an approach
to show that triangulated surfaces are asymptotically well-distributed in moduli space.
Other confirmed speakers for the spring are:
* Hannah Alpert (UBC)
* Yuanan Diao (UNC Charlotte)
* Matthew Kahle (Ohio State)
* Leonid Polterovich (Tel Aviv)
* Roman Sauer (KIT)
* Madhur Tulsiani (TTIC)
Cheers,
Fedya Manin
--
Fedya Manin (he/him)
Assistant Professor of Mathematics
University of California, Santa Barbara