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Algebraic Geometry丨On ACC for minimal log discrepancies for terminal threefolds

2021-11-26 16:42:58

Time: 09:30-10:30, Wednesday, December 1st, 2021

ZOOM ID: 845 5518 5810

Passcode:697843


Host: Dr. Guodu Chen

Speaker: Dr. Jingjun Han, Shanghai Center for Mathematical Sciences/MSRI

Title: On ACC for minimal log discrepancies for terminal threefolds


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:

The minimal log discrepancy introduced by Shokurov is a basic invariant in birational geometry. Shokurov conjectured that the set of threefold minimal log discrepancies should satisfy the ascending chain condition. This conjecture has a close relation with the termination of flips in the minimal model program. In this talk, Dr. Jingjun Han will report on his recent progress towards Shokurov's conjecture for terminal threefolds. Some applications will also be discussed. This is a joint work in progress with Jihao Liu and Yujie Luo.