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Harmonic Maps And Surface Group Representations

Connections for Women: Dynamics on Moduli Spaces of Geometric Structures January 15, 2015 - January 16, 2015

January 16, 2015 (02:00 PM PST - 03:00 PM PST)
Speaker(s): Qiongling Li (Chern Institute of Mathematics)
Location: SLMath: Eisenbud Auditorium
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

14129
Abstract

We first give a general introduction to harmonic maps, especially from (universal cover of) a Riemann surface into hyperbolic surfaces, symmetric spaces, and singular spaces. We then explain why they are useful to study moduli space of surface group representations into PSL(2,R) and general Lie groups, and to study compactification of these moduli spaces. This talk will be introductory and expository. We emphasize on PSL(2,R) case to give a guiding picture and then explain other examples.
Supplements
23055?type=thumb Li.Notes 236 KB application/pdf Download
Video/Audio Files

14129

H.264 Video 14129.mp4 359 MB video/mp4 rtsp://videos.msri.org/14129/14129.mp4 Download
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