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Colloquium Mike Wolf

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Speaker: Mike Wolf (Rice University, Texas)
Event date: Tuesday June 12 2018 04:00 pm - 05:30 pm
Place: Maison du Savoir
MSA 3.040
2, Avenue de l'Université
L-4365 Esch-sur-Alzette

Sheared Pleated surfaces and Limiting Configurations for Hitchin's equations

Abstract:  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, originally defined gauge-theoretically, in terms of the hyperbolic geometric objects of shearings of pleated surfaces. The two perspectives are related via a third, the shapes of harmonic maps of surfaces.  We aim to introduce the elements we need from each of the three areas.  (Joint with Andreas Ott, Jan Swoboda, and Richard Wentworth.)

Link: Mathematics Colloquium