Events for 11/02/2022 from all calendars

Numerical Analysis Seminar

Time: 3:00PM - 4:00PM

Location: BLOC 302

Speaker: Céline Torres, University of Maryland

Title: A two-scale method for the Integral Fractional Laplace equation and the Fractional Obstacle problem

Abstract: In this talk, we are interested in the approximation of integral Fractional Laplace equation. The continuous problem satisfies a maximum principle, which is essential for the analysis of the Fractional Obstacle problem. Motivated by this application, we propose a two-scale method for the linear problem, which inherits the maximum principle naturally and leads to L^∞-estimates for the error. We present the discretization of the Fractional Obstacle Problem as a possible application of the method and its error analysis. The work presented is in collaboration with R.H. Nochetto, J.P. Borthagaray and A. Salgado.

Groups and Dynamics Seminar

Time: 3:00PM - 4:00PM

Location: BLOC 506a

Speaker: Yury Kudriashov, Texas A&M University

Title: Bifurcations of vector fields on the two-sphere

Abstract: A generic vector field on the two-sphere is structurally stable: any other vector field that is sufficiently close to the original one is conjugate to it by a homeomorphism of the sphere. In 1960-s, V. Arnold conjectured that the same is true for a generaic finite parameter family of vector fields on the sphere. Recently, Yu. Ilyashenko, I. Schurov and me disproved this conjecture: we described a locally generic type of a 3-parameter bifurcation such that topological classification of bifurcations of this type has at least one numeric parameter. We also described a 6-parameter bifurcation that have functional moduli of topological classification. I will talk about these examples and their improvements constructed by N. Goncharuk, N. Solodvnikov and me. This talk is an extended version of my talk at the postdoc talks series.

Douglas Lectures

Time: 4:00PM - 4:50PM

Location: BLOC 117

Speaker: Vern Paulsen

Title: The Theory of Nonlocal Games and the problems of Tsirelson and Connes

Abstract: In Lecture 2, we focus on synchronous quantum correlations and their relationship with traces on algebras. We derive a set of fundamental orthogonality relations that must be satisfied by an algebra to yield a perfect strategy and show how these results lead to a stronger refutation of Connes Embedding Problem.