Date: Saturday, March 30, 2013
Location: B 844 (1:30 PM to 2:30 PM)
Title: Random Teichmüller geodesics
Abstract: I'll review some of the features and pathologies of geodesics in the Teichmüller metric, including the phenomena that are obstructions to hyperbolicity. Then I'll discuss recent work with Dowdall and Masur in which we work out properties enjoyed by generic geodesics, concluding that these obstructions are quantifiably rare, and Teichmüller space is in this sense "statistically hyperbolic." One key tool, devised by Eskin and Mirzakhani, shows that geodesics are well-modeled by random walks on a net of points.
Speaker: Moon Duchin
Institution: Tufts U
Event Organizer: Spatzier
|