Geometry and Topology Seminar

Series: Geometry and Topology Seminar Series

Sheared Pleated surfaces and Limiting Configurations for Hitchin's equations

Michael Wolf, Department of Mathematics, Rice University,

A recent work by Mazzeo-Swoboda-Weiss-Witt describes a stratum of the frontier of the space of SL(2,C) surface group representations in terms of 'limiting configurations' which solve a degenerated version of Hitchin's equations on a Riemann surface. We interpret these objects in (a mapping class group invariant way in) terms of the hyperbolic geometric objects of shearings of pleated surfaces and an accompanying bundle over real trees. (Joint with Andreas Ott, Jan Swoboda, and Richard Wentworth).

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