Back to Departmental Colloquium: Spring 2016
Departmental Colloquium
Date: Thursday, Mar 24, 2016
Time: 4:00PM
Location: LCB 219
Dick Canary
University of Michigan
Title |
Pressure metrics for higher Teichmuller spaces |
Abstract |
Higher Teichmuller theory studies deformation spaces of ``geometric’’ representations into higher rank Lie groups. One goal is to develop analogues of the rich geometric theory of Teichmuller spaces of Riemann surfaces. We will begin by discussing examples of higher Teichmuller spaces and attempt to give some flavor of the general theory. In the second half of the talk we will discuss a pressure metric on higher Teichmuller spaces which is a generalization of the classical Weil-Petersson metric on Teichmuller space. Its definition is dynamical in nature and is inspired by Thurston’s reformulation of the Weil-Petersson metric and subsequent work by Wolpert, Bonahon, McMullen and Bridgeman. (This portion of the talk describes joint work with Bridgeman, Labourie and Sambarino.) |
Representation Theory
Topology