Seminar Calendar
for events the day of Thursday, April 6, 2017.

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Thursday, April 6, 2017

Number Theory Seminar
11:00 am   in 241 Altgeld Hall,  Thursday, April 6, 2017
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Submitted by sahlgren.
Bao V. Le Hung (University of Chicago)
Congruences between automorphic forms
Abstract: The theory of congruences between automorphic forms traces back to Ramanujan, who observed various congruence properties between coefficients of generating functions related to the partition function. Since then, the subject has evolved to become a central piece of contemporary number theory; lying at the heart of spectacular achievements such as the proof of Fermat's Last Theorem and the Sato-Tate conjecture. In my talk I will explain how the modern theory gives satisfactory explanations of some concrete congruence phenomena for modular forms (the $\mathrm{GL}_2$ case), as well as recent progress concerning automorphic forms for higher rank groups. This is joint work with D. Le, B. Levin and S. Morra.

Geometry, Groups and Dynamics/GEAR Seminar
12:00 pm   in 243 Altgeld Hall,  Thursday, April 6, 2017
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Submitted by clein.
Autumn Kent (Wisconsin Math)
On word hyperbolic surface bundles.
Abstract: There is a characterization of hyperbolicity of the fundamental group of a surface bundle due to Farb-Mosher-Hamenstaedt, namely that the bundle has hyperbolic fundamental group if and only if the fundamental group is ``convex cocompact,'' a notion analogous to the synonymous notion in Kleinian groups. I will discuss joint work with Bestvina, Bromberg, and Leininger that gives a new characterization of convex cocompactness, namely that the group is purely pseudo-Anosov and undistorted in the mapping class group.

Math-Physics Seminar
12:30 pm   in 464 Loomis Laboratory,  Thursday, April 6, 2017
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Submitted by katz.
Anatoly Dymarski (Kentucky Physics)
To Be Announced

Mathematics Colloquium
4:00 pm   in 245 Altgeld Hall,  Thursday, April 6, 2017
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Submitted by kapovich.
Tadahiro Oh (Edinburgh)
On the transport property of Gaussian measures under Hamiltonian PDE dynamics
Abstract: In probability theory, the transport property of Gaussian measures have attracted wide attention since the seminal work of Cameron and Martin '44. In this talk, we discuss recent development on the study of the transport property of Gaussian measures on spaces of functions under nonlinear Hamiltonian PDE dynamics. As an example, we will discuss the case for the 2-d cubic nonlinear wave equation, for which we introduce a simultaneous renormalization of the energy functional and its time derivative to study the transport property of Gaussian measures on Sobolev spaces. This talk is based on a joint work with Nikolay Tzvetkov (Université de Cergy-Pontoise).