# Math Calendar

### Upcoming Events

## 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.

## 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.

## Computational Analysis Seminar

## Talk Title TBA

Penghang Yin, University at Albany

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## Topology & Group Theory Seminar

## Talk Title TBA

Michael Mihalik, Vanderbilt University

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## Colloquium

## Talk Title TBA

Carina Curto, Pennsylvania State University

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(Contact person: Ioana Suvaina)

## Subfactor Seminar

## Talk Title TBA

Sam Mellick, ENS de Lyon

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## 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.

## Topology & Group Theory Seminar

## Talk Title TBA

Anna Marie Bohmann, Vanderbilt University

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## Computational Analysis Seminar

## Talk Title TBA

David Womble, Oak Ridge National Laboratory

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## Subfactor Seminar

## Talk Title TBA

Sayan Das, UC Riverside

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## Number Theory Seminar

## Talk Title TBA

Ling Long, Louisiana State University

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## Topology & Group Theory Seminar

## Talk Title TBA

Emily Stark, Wesleyan University

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## Subfactor Seminar

## Talk Title TBA

Liviu Păunescu, Institute of Mathematics of the Romanian Academy

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## PDE Seminar

## Talk Title TBA

Igor Kukavica, University of Southern California

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## Subfactor Seminar

## Talk Title TBA

Rachel, Norton, Fitchburg State University

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## Number Theory Seminar

## Talk Title TBA

Wei-Lun Tsai, University of Virginia

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## Number Theory Seminar

## Talk Title TBA

Bernhard Heim, RWTH Aachen University

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## PDE Seminar

## Talk Title TBA

Georgios Moschidis, University of California Berkeley

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## Subfactor Seminar

## Talk Title TBA

Alex Margolis, Vanderbilt University

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## Number Theory Seminar

## Talk Title TBA

Soon-Yi Kang, Kangwon National University

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## Topology & Group Theory Seminar

## Talk Title TBA

Michael Landry, Washington University in St. Louis

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## Subfactor Seminar

## Talk Title TBA

Cain Edie-Michell, Vanderbilt University

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## Computational Analysis Seminar

## Talk Title TBA

Mahya Ghandehari, University of Delaware

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## Number Theory Seminar

## Talk Title TBA

Caroline Turnage-Butterbaugh, Carleton College

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