Back to Algebraic Geometry Seminar: Fall 2019
Algebraic Geometry Seminar
Date: Tuesday, Oct 15, 2019
Time: 3:30PM - 4:30PM
Location: LCB 222
Yuchen Liu
Yale University
Title |
Openness of K-semistability for Fano varieties |
Abstract |
Recently, the question of whether one can construct nicely behaved moduli spaces for Fano varieties using K-stability has attracted significant interest. More precisely, the Fano K-moduli Conjecture predicts that K-polystable Fano varieties with fixed volume and dimension form a projective good moduli space. In this talk, I will explain the proof of openness of K-semistability for Fano varieties which is one major step in the Fano K-moduli Conjecture. Our proof is a combination of valuative criterion for K-semistability due to Fujita and Li, boundedness of complements due to Birkar, and approximation techniques. This talk is based on joint work with Harold Blum and Chenyang Xu. |
Algebraic Geometry