Event
Kasra Rafi, University of Toronto
Wednesday, March 15, 2017 15:00to16:00
Burnside Hall
Room 920, 805 rue Sherbrooke Ouest, Montreal, QC, H3A 0B9, CA
Geometry of the Thurston metric on Teichmüller space.
Teichmu虉ller space can be equipped with a metric using the hyperbolic structure of a Riemann surface, as opposed to the conformal structure that is used to define the Teichmu虉ller metric. This metric, which is asymmetric, was introduced by Thurston and has not been studied as extensively as Teichmu虉ller metric or the Weil-Petersson metric. However, it equips Teichmu虉ller space with a distinctive and rich structure. We give a survey of some recent results and discuss some open problems and conjectures.