Abstract:Holomorphic Floer Theory is the name of our joint project (in fact a program) with Maxim Kontsevich.It is devoted to various aspects of the Floer theory of complex symplectic manifolds.Among applications of our approach there are generalizations of the Riemann-Hilbert correspondence and non-abelian Hodge theory, relation of the Fukaya categories with periodic monopoles,conceptual unde...
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...