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BCOV invariant and birational equivalence

Friday, March 15th, 2019, 2:00 PM  闵行数学楼402报告厅
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.
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