活动地点：CMS 201

活动类型：学术报告

主讲人：曲三太

活动时间：2022-10-18 10:30:00--2022-10-18 11:30:00

活动内容：

曲三太博士专题学术报告

 

报告题目：Bounding irrationality of degenerations of Fano fibrations

 

报告人：曲三太（清华大学丘成桐数学中心）

 

时间：2022年10月18日（周二）上午10:30

 

地点：数学中心201教室

腾讯会议：770-126-216

摘要：In this talk, I will introduce a recent result about bounding degrees of irrationality of degenerations of klt Fano fibrations 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.  Moreover, we show that every fibre of the toroidal morphism is bounded and has mild singularities if we replace the birational modifications by alterations.  This is a joint work with Prof. C. Birkar.