Moduli Spaces and Related Topics

Time：Wed., 15:30-16:30 Nov. 6, 2024

Venue：C654, Shuangqing Complex Building A

Organizer：Xiang He, Chenglong Yu, Dingxin Zhang, Jie Zhou

Speaker：Chengxi Wang

Organizers

Xiang He, Chenglong Yu,

Dingxin Zhang, Jie Zhou

Speaker

Chengxi Wang 王成茜

(YMSC)

Time

Wed., 15:30-16:30

Nov. 6, 2024

Venue

C654, Shuangqing

Complex Building A

Calabi-Yau varieties

with extreme behavior

A projective variety X is called Calabi-Yau if its canonical divisor is Q-linearly equivalent to zero. The smallest positive integer m with mK_X linearly equivalent to zero is called the index of X. Using ideas from mirror symmetry, we construct Calabi-Yau varieties with index growing doubly exponentially with dimension. We conjecture they are the largest index in each dimension based on evidence in low dimensions. We also give Calabi-Yau varieties with large orbifold Betti numbers or small minimal log discrepancy. Joint work with Louis Esser and Burt Totaro.

DATENovember 4, 2024

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