Time: 10:00-11:00, Thursday, June 2nd, 2022
ZOOM ID: 938 5377 3150
Host: Dr. Guodu Chen
Speaker: Dr. Jingjun Han, Shanghai Center for Mathematical Sciences/MSRI
Title: Birational boundedness of rationally connected log Calabi-Yau pairs with fixed index
Biography:
Jingjun Han is a Young Investigator (on leave) at Shanghai Center for Mathematical Sciences, Fudan University, and an offsite Mathematical Sciences Research Institute (MSRI)-Simons postdoctoral fellow supervised by Prof. Christopher Hacon at the University of Utah. He received Ph.D. in July 2018 from Beijing International Center for Mathematical Research, Peking University under the supervision of Prof. Gang Tian and Prof. Chenyang Xu. He was a J.J. Sylvester Assistant Professor during 2018-2021 in the Department of Mathematics, Johns Hopkins University.
Abstract:
In this talk, Dr Han will introduce McKernan-Prokhorov's conjecture on the boundedness of rationally connected Calabi-Yau varieties. This conjecture is a natural generalization of the Borisov–Alexeev–Borisov (BAB) Conjecture which was solved by Birkar. He will show that the set of rationally connected projective varieties X of a fixed dimension such that (X,B) is klt, and -l(K_X+B) is Cartier and nef for some fixed positive integer l, is bounded modulo flops. This is a joint work with Chen Jiang.
