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Asymptotics of minimal surfaces in SL(3,R)/SO(3) along rays
Speaker: Andrea Tamburelli


Hitchin’s theory of Higgs bundles associated holomorphic differentials on a Riemann surface to representations of the fundamental group of the surface into a Lie group. We study the geometry common to representations whose associated holomorphic differentials lie on a ray. In the setting of SL(3,R), we provide a formula for the asymptotic holonomy of the representations in terms of the local geometry of the differential. Alternatively, we show how the associated equivariant harmonic maps to a symmetric space converge to a harmonic map to a building, with geometry determined by the differential. This is joint work with John Loftin and Mike Wolf.

Date : Thu, Jul 20

Time: 12:00

Place: SR 8