EVENT DETAILS AND ABSTRACT

Title: Calabi-Yau varieties with extreme behavior
Speaker: Chengxi Wang
Speaker Info: UCLA
Brief Description:
Special Note:
Abstract:

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. Together with L. Esser and B. Totaro, we use ideas from mirror symmetry to 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.