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March 5, 2021 (Friday), 4:10 pm

Subfactor Seminar

A multiplicative ergodic theorem for von Neumann algebra valued cocycles

Ben Hayes, University of Virginia
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I’ll discuss joint work with Lewis Bowen and Frank Lin. In it, we generalize the classical Multiplicative Ergodic Theorem (MET) of Oseledets to cocycles taking values in a semi-finite von Neumann algebra. In contrast with previous work, the limiting operator we get is typically not the exponential of a compact operator and often has diffuse spectrum.

March 5, 2021 (Friday), 4:10 pm

PDE Seminar

The spacelike-characteristic Cauchy problem of general relativity in low regularity

Stefan Czimek, Brown University
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In this talk I will present my recent results (in collaboration with O. Graf) on the spacelike-characteristic initial value problem for the Einstein equations, where the initial data is posed on a spacelike ball and the outgoing null cone emanating from its boundary. We prove that if the initial data is sufficiently close to Minkowski (measured in the L2-norm of the curvature) then the associated solution to the Einstein equations exists until time T=1. Our result extends the bounded L2-curvature theorem of Klainerman-Rodnianski-Szeftel to initial data on spacelike-characteristic hypersurfaces.

In the beginning of the talk, I will shortly recapitulate the Einstein equations and their initial value problem. Then I will discuss the role of continuation results in general relativity and state our result. Subsequently, I will outline its proof, explaining in particular how our setting introduces new geometric boundary terms. To estimate the latter, we extend the methods of Klainerman-Rodnianski to provide a novel analysis of the so-called “canonical foliation” on null hypersurfaces which admits stronger estimates in the direction transversal to the null hypersurface.

March 10, 2021 (Wednesday), 4:10 pm

Computational Analysis Seminar

Talk Title TBA

Penghang Yin, University at Albany
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March 10, 2021 (Wednesday), 4:10 pm

Topology & Group Theory Seminar

Talk Title TBA

Michael Mihalik, Vanderbilt University
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March 11, 2021 (Thursday), 4:10 pm

Colloquium

Talk Title TBA

Carina Curto, Pennsylvania State University
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(Contact person: Ioana Suvaina)

March 12, 2021 (Friday), 11:10 am

Subfactor Seminar

Talk Title TBA

Sam Mellick, ENS de Lyon
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March 12, 2021 (Friday), 4:10 pm

PDE Seminar

On the nonlinear asymptotic stability of vortices and shear flows

Alexandru Ionescu, Princeton University
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I will talk about some recent work on the global nonlinear asymptotic stability of two families of solutions of the 2D Euler equations: monotonic shear flows on bounded channels and point vortices in the plane. This is joint work with Hao Jia.

March 17, 2021 (Wednesday), 4:10 pm

Topology & Group Theory Seminar

Talk Title TBA

Anna Marie Bohmann, Vanderbilt University
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March 17, 2021 (Wednesday), 4:10 pm

Computational Analysis Seminar

Talk Title TBA

David Womble, Oak Ridge National Laboratory
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March 19, 2021 (Friday), 4:10 pm

Subfactor Seminar

Talk Title TBA

Sayan Das, UC Riverside
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March 24, 2021 (Wednesday), 11:00 am

Number Theory Seminar

Talk Title TBA

Ling Long, Louisiana State University
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March 24, 2021 (Wednesday), 4:10 pm

Topology & Group Theory Seminar

Talk Title TBA

Emily Stark, Wesleyan University
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March 26, 2021 (Friday), 11:10 am

Subfactor Seminar

Talk Title TBA

Liviu Păunescu, Institute of Mathematics of the Romanian Academy
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March 26, 2021 (Friday), 4:10 pm

PDE Seminar

Talk Title TBA

Igor Kukavica, University of Southern California
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April 2, 2021 (Friday), 4:10 pm

Subfactor Seminar

Talk Title TBA

Rachel, Norton, Fitchburg State University
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April 7, 2021 (Wednesday), 11:00 am

Number Theory Seminar

Talk Title TBA

Wei-Lun Tsai, University of Virginia
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April 14, 2021 (Wednesday), 11:00 am

Number Theory Seminar

Talk Title TBA

Bernhard Heim, RWTH Aachen University
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April 16, 2021 (Friday), 4:10 pm

PDE Seminar

Talk Title TBA

Georgios Moschidis, University of California Berkeley
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April 16, 2021 (Friday), 4:10 pm

Subfactor Seminar

Talk Title TBA

Alex Margolis, Vanderbilt University
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April 21, 2021 (Wednesday), 11:00 am

Number Theory Seminar

Talk Title TBA

Soon-Yi Kang, Kangwon National University
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April 21, 2021 (Wednesday), 4:10 pm

Topology & Group Theory Seminar

Talk Title TBA

Michael Landry, Washington University in St. Louis
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April 23, 2021 (Friday), 4:10 pm

Subfactor Seminar

Talk Title TBA

Cain Edie-Michell, Vanderbilt University
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April 28, 2021 (Wednesday), 4:10 pm

Computational Analysis Seminar

Talk Title TBA

Mahya Ghandehari, University of Delaware
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May 5, 2021 (Wednesday), 11:00 am

Number Theory Seminar

Talk Title TBA

Caroline Turnage-Butterbaugh, Carleton College
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