Ben Hayes, University of Virginia
Visit Subfactor Seminar page for Zoom meeting information

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.

Stefan Czimek, Brown University
Visit PDE Seminar page for Zoom meeting information

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.

Penghang Yin, University at Albany
Visit Computational Analysis Seminar page for Zoom meeting information

Michael Mihalik, Vanderbilt University
Visit Topology & Group Theory Seminar page for Zoom meeting information

Carina Curto, Pennsylvania State University
Email Math Colloquium to request Zoom Meeting ID and passcode

(Contact person: Ioana Suvaina)

Sam Mellick, ENS de Lyon
Visit Subfactor Seminar page for Zoom meeting information

Alexandru Ionescu, Princeton University
Visit PDE Seminar page for Zoom meeting information

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.

Anna Marie Bohmann, Vanderbilt University
Visit Topology & Group Theory Seminar page for Zoom meeting information

David Womble, Oak Ridge National Laboratory
Visit Computational Analysis Seminar page for Zoom meeting information

Sayan Das, UC Riverside
Visit Subfactor Seminar page for Zoom meeting information

Ling Long, Louisiana State University
Visit Number Theory Seminar page for Zoom meeting information

Emily Stark, Wesleyan University
Visit Topology & Group Theory Seminar page for Zoom meeting information

Liviu Păunescu, Institute of Mathematics of the Romanian Academy
Visit Subfactor Seminar page for Zoom meeting information

Igor Kukavica, University of Southern California
Visit PDE Seminar page for Zoom meeting information

Rachel, Norton, Fitchburg State University
Visit Subfactor Seminar page for Zoom meeting information

Wei-Lun Tsai, University of Virginia
Visit Number Theory Seminar page for Zoom meeting information

Bernhard Heim, RWTH Aachen University
Visit Number Theory Seminar page for Zoom meeting information

Georgios Moschidis, University of California Berkeley
Visit PDE Seminar page for Zoom meeting information

Alex Margolis, Vanderbilt University
Visit Subfactor Seminar page for Zoom meeting information

Soon-Yi Kang, Kangwon National University
Visit Number Theory Seminar page for Zoom meeting information

Michael Landry, Washington University in St. Louis
Visit Topology & Group Theory Seminar page for Zoom meeting information

Cain Edie-Michell, Vanderbilt University
Visit Subfactor Seminar page for Zoom meeting information

Mahya Ghandehari, University of Delaware
Visit Computational Analysis Seminar page for Zoom meeting information

Caroline Turnage-Butterbaugh, Carleton College
Visit Number Theory Seminar page for Zoom meeting information