Date: Wednesday, October 19, 2016
Location: 4096 East Hall (4:10 PM to 5:30 PM)
Title: The volume of KahlerEinstein QFano varieties
Abstract: A complex projective variety is QFano if it has klt singularities and the anticanonical divisor is QCartier and ample. Starting from dimension 2, the anticanonical volume of a QFano variety can be arbitrarily large, e.g. weighted projective spaces. Recently, Fujita showed that an ndimensional KahlerEinstein QFano variety has volume at most (n+1)^n. In this talk, I will discuss a refinement of Fujita's volume upper bounds involving invariants of the local singularities. If time permits, I will also talk about an equivalent relation between Ksemistability and de FernexEinMustata type inequalities. Part of this work is joint with Chi Li.
Files:
Speaker: Yuchen Liu
Institution: Princeton University
Event Organizer:
