Seminar by Santai Qu: Irrationality of degenerations of Fano varieties



Time:May 28, Tuesday, 16:00-17:00
Venue: Lecture Hall
Abstract:In this talk, I will introduce a recent result about bounding degrees of irrationality of degenerations of klt Fano varieties of arbitrary dimensions. This proves the generically bounded case of a conjecture proposed by C. Birkar and K. Loginov for log Fano fibrations of dimensions greater than three. Our approach depends on a method to modify the klt Fano fibration to a toroidal morphism of toroidal embeddings with bounded general fibres. This is a joint work with Prof. C. Birkar.