Burt Totaro, UCLA

Abstract: A projective variety 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 that our examples have the largest possible index in each dimension. Joint work with Louis Esser and Chengxi Wang.