On structures and discrepancies of klt Calabi-Yau pairs

Time：Fri., 15:30-16:30, Nov. 22, 2024

Venue：B725, Shuangqing Complex Building A

Organizer：Caucher Birkar，贾甲

Speaker：Junpeng Jiao

Algebraic Geometry Seminar

Organizers：

Caucher Birkar，贾甲

Speaker：

Junpeng Jiao (YMSC)

Time：

Fri., 15:30-16:30, Nov. 22, 2024

Venue：

B725, Shuangqing Complex Building A

Online：

Zoom Meeting ID: 262 865 5007

Passcode: YMSC

Title：

On structures and discrepancies of klt Calabi-Yau pairs

Abstract：

In this talk I will show that the discrepancies of log centers of all klt Calabi--Yau varieties with fixed dimension are in a finite set. I also show how minimal model program facilitates to construct rationally connected fibration structures on log Calabi--Yau pairs. This provides an alternative proof of Cao--H\"oring's structure theorem for Calabi--Yau cases.

DATENovember 21, 2024

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