Algebraic Geometry Seminar
Charlie Stibitz
Northwestern University
Birational superrigidity and K-stability of Fano varieties
Abstract: We will look at the relation between two concepts in the
geometry of Fano varieties: birational superrigidty, which comes from
the study of Mori fiber space structures on a Fano variety, and
K-stability, coming from the study of nice metrics of Fano manifolds.
We show that as long as the alpha invariant of a Fano variety is
greater than 1/2, any birationally superrigid Fano variety is K-stable.
Wednesday September 5, 2018 at 4:00 PM in 427 SEO