AbstractKinetic Brownian motion is a stochastic process that interpolates between the geodesic flow and Laplacian. It is also an analogue of Bismut’s hypoelliptic Laplacian. We prove the strong convergence of the spectrum of kinetic Brownian motion to the spectrum of base Laplacian for all compact Riemannian manifolds. This generalizes recent work of Kolb--Weich--Wolf on constant curvature sur...
AbstractSome of the better-known link homology theories are bigraded and categorify Reshetikhin-Turaev GL(N) link invariants. In the past few years foams have emerged as an explicit way to construct link homology theories. We will explain what foams are and how evaluation of foams leads to these explicit approaches to link homology.Mikhail KhovanovColumbia UniversityMikhail Khovanov is a profes...