Seminar Calendar
for events the day of Thursday, May 4, 2017.

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Thursday, May 4, 2017

Geometry, Groups and Dynamics/GEAR Seminar
12:00 pm   in 243 Altgeld Hall,  Thursday, May 4, 2017
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Submitted by bradlow.
Brian Collier   [email] (University of Maryland)
The geometry of maximal SO(2,n) representations
Abstract: Like Hitchin representations, the set of maximal representations of a surface group into a Lie group of Hermitian type form connected components of representations with Labourie's Anosov property. For such representations, Guichard and Wienhard have constructed geometric structures modeled on certain flag varieties. In this talk we will use Higgs bundle techniques to construct a unique maximal space-like surface in the pseudo-Riemannian hyperbolic space H2,n-1 associated to any maximal SO(2,n) representation. Using the geometry of this surface, we construct geometric structures on certain homogeneous bundles on the surface and prove that they agree with those of Guichard-Wienhard. As a corollary, we also prove (a generalization of) a conjecture of Labourie for all maximal representations into rank 2 Hermitian Lie groups.This is based on joint work with Nicholas Tholozan and Jérémy Toulisse.

Illinois Geometry Lab
1:00 pm   in 314B Illini Union,  Thursday, May 4, 2017
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Submitted by tyson.
IGL Spring 2017 Open House
Abstract: The IGL end-of-semester Open House will take place from 1:00 pm to 4:00 pm in Room 314B Illini Union. Come see what the IGL teams have produced this semester! Please note change of location!

Mathematics Colloquium
4:00 pm   in 245 Altgeld Hall,  Thursday, May 4, 2017
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Submitted by kapovich.
Rafe Mazzeo (Stanford)
The L^2 metric on Hitchin’s moduli space
Abstract: The much-studied moduli space of solutions to Hitchin’s equations on a Riemann surface carries a natural complete Weil-Petersson type metric. The large-scale structure of this metric is only now being revealed, first through an ambitious set of physics conjectures by Gaiotto-Neitzke-Moore, and now through techniques of geometric analysis. I will discuss this whole picture and report on recent work with Swoboda-Weiss-Witt.