Department of

Mathematics

Seminar Calendar
for events the day of Thursday, April 12, 2018.

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Questions regarding events or the calendar should be directed to Tori Corkery.
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Thursday, April 12, 2018

11:00 am in 341 Altgeld Hall,Thursday, April 12, 2018

Polish groupoids and continuous logic

Ruiyuan (Ronnie) Chen (Caltech)

Abstract: It is well-known that every non-Archimedean Polish group is isomorphic as a topological group to the automorphism group of a countable structure, and analogously, that every Polish group is isomorphic to the automorphism group of a separable metric structure. We will present a generalization of this result: every open locally Polish groupoid admits a full and faithful Borel functor to the groupoid of metric L-structures on the Urysohn sphere, for some countable metric language L. This partially answers a question of Lupini. We will also discuss the analogous result in the non-Archimedean case.

2:00 pm in 241 Altgeld Hall,Thursday, April 12, 2018

Spectral Theory on the Modular Surface

Abstract: Many questions about number fields can be recast as questions regarding Laplace eigenvalues on certain manifolds. In this talk I’ll discuss some ideas and results related to Selberg’s trace formula, how partial results towards Selberg’s $\frac{1}{4}$-conjecture have immediate applications, and why number theorists might care about the analysis of Laplacians to begin with.