Back to Algebraic Geometry Seminar: Spring 2012
Algebraic Geometry Seminar
Date: Tuesday, Feb 14, 2012
Time: 3:30PM - 4:30PM
Location: LCB 222
Chenyang Xu
University of Utah
Title |
Special test configurations and K-stability |
Abstract |
The famous Yau-Tian-Donaldson conjecture says that a polarized variety (X,L) admits a constant scalar curvature metric if and only if it is K-polystable. The last notion is a completely algebraic notion which I will concentrate on in this talk. More precisely, we will study the K-stability question of Fano varieties. Our new point is that we will put in the machinery of the Minimal Model Program to modify the test configuration and show that the DF-invariants are decreasing. In particular, we answer a conjecture of Tian under the assumption that the Picard number is 1. This is a joint work with Chi Li. |
Algebraic Geometry