Record: YesLevel: Graduate & UndergraduateLanguage: EnglishPrerequisite:Differential Geometry, Riemannian GeometryIntroduction:Black holes play a central role in general relativity and astrophysics. The Kerr solution of the Einstein equations describes a spacetime containing an isolated, rotating black hole. Following a brief introduction to the Cauchy problem for the Einstein equations, I will...
Abstract:The topological group of homeomorphisms of d-dimensional Euclidean space is a basic object in geometric topology, closely related to understanding the difference between diffeomorphisms and homeomorphisms of all d-dimensional manifolds (except when d=4). I will explain some methods that have been used for studying the algebraic topology of this group, and report on a recently obtained...