Venue: Room 204, Hai Na Yuan #2, Zijingang Campus

Time: 16:00 - 17:20, October 27

Speaker: 韩京俊 Jingjun Han (Fudan University)

• Pretalk: log canonical thresholds and minimal log discrepancies

Abstract: I will introduce definition and basic properties of log canonical thresholds and minimal log discrepancies. 

• Research talk: On boundedness in general type MMP

• Abstract: One of the main open problems in the Minimal Model Program (MMP) is the termination. Motivated by local volumes introduced by Chi Li, we introduce log canonical volume which is non-decreasing in any sequence of MMP for general type varieties. As a result, in such kind of MMP, we show that (1) the Cartier index of any Weil Q-Cartier is uniformly bounded; (2) every fiber of the extremal contractions or the flips is bounded (3) the set of minimal log discrepancies belongs to a finite set. This is a joint work with Lu Qi, and Ziquan Zhuang.

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