Calabi-Yau varieties of large index
Dr. Chengxi Wang
2023-03-30 9:00-10:00
Online
Speaker: Dr. Chengxi Wang (UCLA)Time: 9:00-10:00 March 30, 2023 (Thursday)
Place: Online (Zoom ID: 4663562952 Password: mcm1234)
Title: Calabi-Yau varieties of large index
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. 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.
