EVENT DETAILS AND ABSTRACT

Title: Critical metrics on connected sums of Einstein four-manifolds
Speaker: Jeff Viaclovsky
Speaker Info: University of Wisconsin at Madison
Brief Description:
Special Note:
Abstract:

I will discuss a gluing procedure designed to obtain canonical metrics on connected sums of Einstein four-manifolds. The main application is an existence result, using two well-known Einstein manifolds as building blocks: the Fubini-Study metric on CP², and the product metric on S²xS². Using these metrics in various gluing configurations, critical metrics are found on connected sums for a specific Riemannian functional, which depends on the global geometry of the factors. This is joint work with Matt Gursky. If time permits, I will also discuss some recent results regarding the asymptotic expansion of the Kuranishi map.