## 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