Speaker: 张野平（京都大学）

Time: Friday, 15.Mar.2019, 14:00--15:00

Place: Room 402, Mathematical Building

Abstract: The BCOV invariant is an invariant for Calabi-Yau manifolds. In this talk, we extend the BCOV invariant to Calabi-Yau pairs, i.e., a Kahler manifold equipped with a pluricanonical divisor. In certain case, this BCOV invariant is equivalent to an equivariant BCOV invariant introduced by Yoshikawa. Moreover, this BCOV invariant is well-behaved under birational equivalence. We expect that these constructions lead to a positive answer to the following conjecture: the BCOV invariant for Calabi-Yau threefold is a birational invariant.