Michael Taylor (UNC)
Phillips Hall 328Mode: In-Person Title: How smooth is a C² surface? Abstract: Please view Dr. Taylor's abstract HERE.
Mode: In-Person Title: How smooth is a C² surface? Abstract: Please view Dr. Taylor's abstract HERE.
Mode: In-Person Title: Colding-Minicozzi entropies in Cartan-Hadamard manifolds Abstract: I will discuss a family of functionals defined on submanifolds of Cartan-Hadamard manifolds that generalize the Colding-Minicozzi entropy of submanifolds of Euclidean space. These quantities are monotone under mean curvature flow … Read more
Mode: In-Person Title: TBA Abstract: TBA
Mode: In-Person Title: TBA Abstract: TBA
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: 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: TBA Abstract: TBA
Mode: In-Person Title: TBA Abstract: TBA
Wave decay rates and resonances in dimension two Abstract. Resonances are generalizations of eigenvalues used in settings where some or all of the spectrum is continuous rather than discrete. An example of such a setting is a wave in the exterior … Read more
Harmonic coordinates and asymptotic decay conditions Abstract. In General Relativity, an "isolated system at a given instant of time "is modeled as an asymptotically Euclidean (AE) initial data set (M,g,K) where (M,g) is a Riemannian manifold, K is a symmetric … Read more
One-dimensional hydrogenic ions with screened nuclear Coulomb field Abstract. We study the spectrum of the Dirac Hamiltonian in one space dimension for a single electron in the electrostatic potential of a point nucleus, in the Born-Oppenheimer approximation where the nucleus … Read more