EVENT DETAILS AND ABSTRACT

Title: A conformally invariant gap theorem characterizing complex projective space via the Ricci flow
Speaker: Siyi Zhang
Speaker Info: Princeton
Brief Description:
Special Note:
Abstract:

In this talk, we extend a sphere theorem proved by A. Chang, M. Gursky, and P. Yang to give a conformally invariant characterization of complex projective space. In particular, we introduce a conformal invariant defined on closed four-manifolds. We shall show the manifold is diffeomorphic to the complex projective space if the conformal invariant is pinched sufficiently closed to that of the Fubini-Study metric. This is a joint work with Alice Chang and Matthew Gursky.