You are cordially invited to the seminars organized by the Department of Mathematics.<\/p>\n
Speaker: Tina Torkaman (University of Chicago)<\/p>\n
\u201cTeichm\u00fcller theory via random simple closed curves\u201d<\/p>\n
Abstract: In this talk, we introduce a canonical geodesic current KX for each X\u2208Tg, representing a randomly chosen simple closed geodesic on X. We establish results analogous to Bonahon\u2019s work on the Liouville measure. In particular, we show that the map X\u21a6KX defines a proper embedding of Teichm\u00fcller space Tg into the space of geodesic currents. This embedding leads to a compactification of Tg that differs from Thurston\u2019s compactification (which Bonahon\u2019s results yield via the Liouville measure). We will discuss the construction of KX and its geometric properties. This is joint work with Curt McMullen.<\/p>\n
Date: December 8, Monday
\nTime: 18:00 PM (Ankara)
\nPlace: Zoom<\/p>\n
To request the event link, please send a message to gokhan.yildirim@bilkent.edu.tr<\/p>\n","protected":false},"excerpt":{"rendered":"
You are cordially invited to the seminars organized by the Department of Mathematics. Speaker: Tina Torkaman (University of Chicago) \u201cTeichm\u00fcller theory via random simple closed curves\u201d Abstract: In this talk, we introduce a canonical geodesic current KX for each X\u2208Tg, representing a randomly chosen simple closed geodesic on X. We [\u2026] <\/p>\n