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Seminar

Geometry and Analysis of Surface Group Representations: Meromorphic quadratic differentials and harmonic maps to graphs February 25, 2015 (11:00 AM PST - 12:30 PM PST)
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Location: MSRI: Baker Board Room
Speaker(s) Subhojoy Gupta (California Institute of Technology)
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Holomorphic quadratic differentials on a Riemann surface induce measured foliations and singular-flat metrics that have been useful in Teichmüller theory. I will talk on joint work with Mike Wolf parametrizing the space of meromorphic quadratic differentials with poles of higher order, whose induced metrics consist entirely of half-planes. This generalizes a theorem of Strebel concerning quadratic differentials with poles of order 2. The main tools we use are from the theory of infinite-energy harmonic maps to graphs. 

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