Abstract

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.

Speaker

曲三太博士毕业于中国科学技术大学少年班学院，2020年于纽约州立大学石溪分校获得数学博士学位，导师为代数几何学家JasonStarr教授。2020年10月至今在清华大学丘成桐数学科学中心做博士后研究，研究方向为代数几何、有理连通簇和双有理几何。