Mode: In-Person Title: Nodal sets of eigenfunctions of sub-Laplacians Abstract: Nodal sets of eigenfunctions of elliptic operators on compact manifolds have been studied extensively over the past decades. In a recent work, we initiated the study of nodal sets of … Read more
Mode: In-Person Title: On positivity for flag manifolds and Hessenberg spaces Abstract: “Positivity” is a phenomenon involving the intersection of subvarieties in the presence of enough structure to ensure that intersection points are positively oriented, among other generalizations. It has … Read more
Mode:In-Person Title: Pieri formulas for the quantum K-theory of cominuscule Grassmannians Abstract: The quantum K-theory ring QK(X) of a flag variety X encodes the K-theoretic Gromov-Witten invariants of X, defined as arithmetic genera of Gromov-Witten varieties parametrizing curves meeting fixed … Read more
Mode: In-Person Title: The geometry of scalar curvature and mass in general relativity Abstract: In general relativity, the space we inhabit is modeled by a Riemannian manifold. The fundamental restriction this theory places upon spatial geometry is a lower bound … Read more
Mode: In-Person Title: Global stability of Kaluza-Klein spacetimes Abstract: Spacetimes formed from the Cartesian product of Minkowski space and a flat torus play an important role as toy models for theories of supergravity and string theory. In this talk I … Read more
Mode: In-Person Title: A Non-Mathematical Introduction to the Mathematics of Closing the Control Theory-Computer Science Divide Abstract: Modern cars have hundreds of millions of lines of software code running on 100-200 processors embedded in them. They implement a variety of … Read more
Mode: In-person Title: Blow-ups and the quantum spectrum of surfaces Abstract: The cup product of ordinary cohomology describes how submanifolds of a manifold intersect each other. Gromov-Witten invariants give rise to quantum product and quantum cohomology, which describe how subspaces … Read more
Mode: TBA Title: General-relativistic viscous fluids Abstract: In this talk, we will review some recent developments at the intersection of mathematics and physics regarding theories of relativistic fluids with viscosity. The discovery of the quark-gluon plasma that forms in heavy-ion … Read more
Mode: In-Person Title: Modeling cell dynamics: from molecules to macrostructures Abstract: TBA
Mode: In- Person Title: Hodge theoretic generalizations of Satake-Baily-Borel Abstract: There are many ways to compactify a locally hermitian symmetric space. Distinguished amongst this is a minimal compactification due to Satake. I will give a general audience introduction to a … Read more
