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

Related News

0
Locally stable degenerations of log Calabi-Yau pairs
Abstract We study the birational boundedness of special fibers of log Calabi-Yau fibrations and Fano fibrations. We show that for a locally stable family of Fano varieties or polarised log Calabi-Yau pairs over a curve, if the general fiber satisfies some natural boundedness conditions, then every irreducible component of the special fiber is birationally bounded.About the speaker 焦骏鹏，清华...
1
Algebra Seminar | Calabi-Yau structures on Drinfeld quotients
AbstractIn 2009, Claire Amiot constructed Calabi-Yau structures on certain Verdier quotients. Our aim in this talk is to lift her construction to the differential graded level. This is a central ingredient in a recent proof of a variant of Amiot's conjecture on the structure of 2-Calabi-Yau categories with a cluster tilting object. The talk is a report on joint work with Junyang Liu