BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Sahana Vasudevan (MIT) DTSTART:20210111T170000Z DTEND:20210111T180000Z DTSTAMP:20260423T041335Z UID:TG_ET/10 DESCRIPTION:Title: L arge genus bounds for the distribution of triangulated surfaces in moduli space\nby Sahana Vasudevan (MIT) as part of Topology and geometry: ext remal and typical\n\n\nAbstract\nTriangulated surfaces are compact hyperbo lic Riemann surfaces that admit a conformal triangulation by equilateral t riangles. They arise naturally in number theory as Riemann surfaces define d over number fields\, in probability theory as conjecturally related to L iouville quantum gravity\, and in metric geometry as a model to understand arbitrary hyperbolic surfaces. Brooks and Makover started the study of th e geometry of random large genus triangulated surfaces. Mirzakhani later p roved analogous results for random hyperbolic surfaces. These results\, al ong with many others\, suggest that the geometry of triangulated surfaces mirrors the geometry of arbitrary hyperbolic surfaces especially in the ca se of large genus asymptotics. In this talk\, I will describe an approach to show that triangulated surfaces are asymptotically well-distributed in moduli space.\n LOCATION:https://researchseminars.org/talk/TG_ET/10/ END:VEVENT END:VCALENDAR