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Events for September 18, 2017 from General and Seminar calendars

Geometry Seminar

Time: 3:00PM - 4:00PM

Location: BLOC 628

Speaker: Gregory Pearlstein, TAMU

Title: Mixed Hodge Metrics

Abstract: I will give an overview of recent work with P. Brosnan on the asymptotic behavior of archimedean heights, and with C. Peters on the differential geometry of mixed period domains.

Working Seminar in Groups, Dynamics, and Operator Algebras

Time: 3:00PM - 3:50PM

Location: BLOC 624

Speaker: Jintao Deng, Texas A&M University

Title: Property A

Probability Seminar

Time: 3:15PM - 4:14PM

Location: BLOC 220

Speaker: Boris Hanin, TAMU

Title: Local Universality for Random Waves on Riemannian Manifolds

Abstract: Random waves on a Riemannian manifold are a Gaussian model for eigenfunctions of the Laplacian. This model first arose in Berry's random wave conjecture from the 1970's, which states that random waves are good semiclassical models for deterministic wavefunctions in chaotic quantum systems. I will explain what this means and give some examples of why this conjecture is so far from being proved. I will then talk about some ongoing work with Yaiza Canzani about local universality for random waves. The idea is that, just like for random matrix models, random waves have universal scaling limits under some generic assumptions. This local universality allows one to say quite a bit about the size and topology (e.g. number of connected components) of zero sets of random waves. I will state some of these results and a few open questions as well.