BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Giulio Tiozzo (University of Toronto (Canada)) DTSTART:20200514T150000Z DTEND:20200514T160000Z DTSTAMP:20260423T023044Z UID:DinAmicI/1 DESCRIPTION:Title: Central limit theorems for counting measures in coarse negative curvature \nby Giulio Tiozzo (University of Toronto (Canada)) as part of DinAmic I: Another Internet Seminar\n\n\nAbstract\nWe establish general central li mit theorems for an action of a group on a hyperbolic space with respect t o counting for the word length in the group.\nIn 2013\, Chas\, Li\, and Ma skit produced numerical experiments on random closed geodesics on a hyperb olic pair of pants. Namely\, they drew uniformly at random conjugacy clas ses of a given word length\, and considered the hyperbolic length of the  corresponding closed geodesic on the pair of pants.  Their experiments l ead to the conjecture that the length of these closed geodesics satisfies a central limit theorem\, and we proved this conjecture in 2018. \nIn our new work\, we remove the assumptions of properness and smoothness of the space\, or cocompactness of the action\, thus proving a general central li mit theorem for group actions on hyperbolic spaces. \nWe will see how our techniques replace the classical thermodynamic formalism and allow us to provide new applications\, including to lengths of geodesics in geometrica lly finite manifolds and to intersection numbers with submanifolds.\nJoint work with I. Gekhtman and S. Taylor.\n\nZoom link:\nhttps://unipd.zoom.us /j/91001776009?pwd=Qm0wZVF3TWxmNm9LVFhYL0RiczBHdz09\n LOCATION:https://researchseminars.org/talk/DinAmicI/1/ END:VEVENT END:VCALENDAR