K-stability and Einstein Metrics

Abstract

When the speaker first visited HKUST in the 90's, he talked on the K-stability, a geometric stability he introduced newly then. He showed how the existence of Kahler-Einstein metrics implies the K-stability. In this talk, the speaker will show how the K-stability implies the existence of Kahler-Einstein metrics on a Fano manifold. This provides a solution for a long-standing conjecture.

About the speaker

Prof. Tian Gang received his PhD in Mathematics from Harvard University in 1988. He was Assistant Professor of Mathematics at Princeton University from 1988 to 1990, and Associate Professor at Stony Brook University from 1990 to 1991, and at New York University from 1991 to 1992. He joined the Massachusetts Institute of Technology in 1995, and held the chair of Simons Professor of Mathematics. He returned to Princeton in 2003, and is currently Eugene Higgins Professor of Mathematics. He is also the Director of the Beijing International Center for Mathematical Research of Peking University.

Prof Tian's work on Kahler-Einstein metric settles a long-standing conjecture and is the subject of discussion and major news in the mathematics community. He is one of the most prominent mathematicians in differential geometry. He received numerous honors and prestigious awards including the Alan T. Waterman Award and the Oswald Veblen Prize. He is a Member of the American Academy of Arts and Sciences and the Chinese Academy of Sciences.