Harmonic Maps And Surface Group Representations
Connections for Women: Dynamics on Moduli Spaces of Geometric Structures January 15, 2015 - January 16, 2015
Location: MSRI: Simons Auditorium
Primary Mathematics Subject Classification No Primary AMS MSC Secondary Mathematics Subject Classification No Secondary AMS MSC
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.
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