Roever Colloquium: Kähler-Einsten metric, K-stability and moduli of Fano varieties
Speaker: Chenyang Xu, Princeton University
Abstract: A complex variety with a positive first Chern class is called a Fano variety. The question of whether a Fano variety has a Kähler-Einstein metric has been a major topic in complex geometry since the 1980s. The Yau-Tian-Donaldson Conjecture predicts the existence of such a metric is equivalent to an algebraic condition called K-stability. In the last decade, algebraic geometry, or more specifically higher dimensional geometry has played a surprising role in advancing our understanding of K-stability, which leads to the solution of the Yau-Tian-Donaldson Conjecture for all Fano varieties.
Host: Xiang Tang
Reception to follow at Cupples I, Room 200 (Lounge) from 2:00pm to 3:00pm