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Back to Departmental Colloquium: Spring 2016

Departmental Colloquium


Date: Thursday, Mar 31, 2016

Time: 4:00PM

Location: LCB 219


Mike Wolf

Rice University

Title

Degenerating Harmonic Maps and Frontiers of Spaces of Representations

Abstract

Some spaces of surface group representations into Lie groups may be related to geometric structures on a surface and to harmonic maps of surfaces into symmetric spaces. The latter provide for ways of imagining limits of degenerating representations as singular geometric objects such as R-trees and buildings. We focus on examples involving hyperbolic surfaces, affine spheres, convex real projective structures and ‘opers’, with a plan to explain all of the words. Joint work with David Dumas, John Loftin; we will also discuss work of Jorge Acosta.

Representation Theory

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