|Date: Tuesday, September 29, 2009
Title: Some recent applications of fully nonlinear equations to geometry
Abstract: Nonlinear PDEs frequently appear in differential geometry, for example when studying the cutrvature of
hypersurfaces in Euclidean space. Indeed, many of the fundamental advances in the theory of partial differential
equations in the last century were inspired by considering very concrete problems in geometry.
Over the last ten years there has been considerable interest in certain fully nonlinear equations in conformal
geometry. These equations arise when considering Ã¢â‚¬ÂuniformizationÃ¢â‚¬Â problems in higher dimensions. After describing some
classical precedents, I will explain the origin of these new equations and describe some interesting applications.
Speaker: Matthew Gursky
Institution: Univ of Notre Dame