18 may 2016 -- 16:00 [open in google calendar]
Scuola Normale Superiore, Aula Tonelli
In this talk I will present some results from project with J. Streets (UC-Irvine), in which we define a formal Riemannian metric on the set of metrics in a conformal class with positive (or negative) curvature. In the case of surfaces, this metric has many interesting formal properties; for example the curvature is nonpositive and the Liouville energy is geodesically convex. I will then talk about extensions to higher dimensions, especially 4-d, in which this construction has some interesting applications to the fully nonlinear Yamabe problem.