**Thursday, November 14, 2013 at 4 p.m. at MSB 203**

Title: Canonical Metrics on Algebraic Varieties

Abstract: The Uniformization Theorem says that every compact Riemann surface has a metric with constant curvature. The generalization to higher dimensional smooth projective manifolds is still not known (even conjecturally). I will discuss some recent advances due to Donaldson, Chen, Sun, Tian, as well as some applications to the theory of solitons.