You are cordially invited to the seminars organized by the Department of Mathematics.
Speaker: Tina Torkaman (University of Chicago)
“Teichmüller theory via random simple closed curves”
Abstract: In this talk, we introduce a canonical geodesic current KX for each X∈Tg, representing a randomly chosen simple closed geodesic on X. We establish results analogous to Bonahon’s work on the Liouville measure. In particular, we show that the map X↦KX defines a proper embedding of Teichmüller space Tg into the space of geodesic currents. This embedding leads to a compactification of Tg that differs from Thurston’s compactification (which Bonahon’s results yield via the Liouville measure). We will discuss the construction of KX and its geometric properties. This is joint work with Curt McMullen.
Date: December 8, Monday
Time: 18:00 PM (Ankara)
Place: Zoom
To request the event link, please send a message to gokhan.yildirim@bilkent.edu.tr