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.
