Oct 2 2024

Geometry/Topology Seminar: Simultaneous uniformization for SL(3,C), by Nathaniel Sagman

October 2, 2024

3:00 PM - 3:50 PM

Location

427 SEO

Address

Chicago, IL

Calendar

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Nathaniel Sagman (University of Luxembourg): Simultaneous uniformization for SL(3,C)

Given a closed surface S of genus at least 2, Bers' simultaneous uniformization provides a way to holomorphically associate pairs of oppositely oriented complex structures on S to quasi-Fuchsian hyperbolic 3-manifolds. In this talk, we'll discuss joint work with Christian El Emam in which we give a procedure for holomorphically associating (many, but not all) pairs of Hitchin representations into SL(3,R) to representations to SL(3,C). Along the way, we'll introduce conformal harmonic maps into holomorphic Riemannian symmetric spaces and other related objects.

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