Dear Topologists and Friends of Topology, Weiping will give the seminar talk this afternoon at 3:30 in MSCS 514. Title: K-stablility and K\"{a}hler-Einstein metrics after Gang Tian Abstract: In this talk, we present the recent work of G. Tian on the proof of the Yau-Tian-Donaldson conjecture. {\bf Theorem (Tian 2012)} Let $M$ be a Fano manifold canonically polarized by the anti-canonical bundle $K_M^{-1}$. If $M$ is K-stable, then it admits a K\"{a}hler-Einstein metric.