Week of Events
Analysis seminar: Changyu Wang (Purdue)
Analysis seminar: Changyu Wang (Purdue)
Title: Heat flow of harmonic maps into CAT(0)-metric spacesAbstract: In this talk, I will describe an elliptic regularization approach, first proposed by De Giorgi, to study the heat flow of harmonic maps into CAT(0)-spaces, a generalization of manifolds with non-positive curvatures in the sense of Alexandrov. This leads to the existence of a unique suitable […]
Algebraic Geometry Seminar: Linquan Ma (Purdue/IAS)
Title: The Briançon-Skoda theorem revisitedAbstract: The Briançon-Skoda theorem is a comparison relating the integral closure of powers of an ideal with its ordinary power. The theorem was originally proved via analytic methods for coordinate rings of smooth varieties over the complex numbers. The full algebraic version for all regular local rings was obtained by Lipman-Sathaye. Since then, there have been […]
Topology Seminar: Joshua Sussan (Medgar Evers College, CUNY)
Title: Symmetries of link homologyAbstract: We show that link homology over a field of characteristic p carries an action of a truncated polynomial algebra. This action gives rise to a categorification of the Jones polynomial at a prime root of unity. This is joint work with You Qi, Louis-Hadrien Robert, and Emmanuel Wagner.
Math Physics Seminar: Dietrich Hafner (University of Grenoble)
Title: Linear stability of Kerr spacetimes Abstract: I will explain a result obtained in collaboration with P. Hintz and A. Vasy on the linear stability of rotating Kerr black holes as solutions of the Einstein vacuum equations: linearized perturbations of a Kerr metric decay at an inverse polynomial rate to a linearized Kerr metric plus a pure […]
Geometric analysis seminar: Paul Sweeney Jr.
Title: Positive Curvature Conditions and Contractible Manifolds Abstract: A classical theme in Riemannian geometry is that positive curvature imposes topological constraints on manifolds. In this talk, we investigate curvature conditions that distinguish Euclidean space among open contractible manifolds and the disk among compact contractible manifolds with boundary. We will show that an open manifold that […]