中科院数学与系统科学研究院
数学研究所
中科院华罗庚数学重点实验室
华罗庚青年数学论坛
学术报告
报告人： 张野平 博士（KIAS）
题 目：Quillen metric, BCOV invariant and motivic integration I
时 间：2021.05.23（星期日），14:00-16:00
地 点：腾讯会议：886 142 281
摘 要：Bershadsky, Cecotti, Ooguri and Vafa constructed a real valued invariant for Calabi-Yau manifolds, which is now called the BCOV invariant. The construction of the BCOV invariant is based on the Quillen metric. In this talk, we will define the Quillen metric and state several results describing its behavior under immersion, submersion and blow-up.
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报告人： 张野平 博士（KIAS）
题 目：Quillen metric, BCOV invariant and motivic integration II
时 间：2021.05.24（星期一），14:00-16:00
地 点：腾讯会议：782 292 010
摘 要：In this talk, we will define the BCOV invariant for Calabi-Yau manifolds. We will also extend the definition to such pairs (X,D), where X is a compact Kaehler manifold and D is a canonical divisor on X with simple normal crossing support. Using the extended BCOV invariant and a factorization theorem from birational geometry, we show that the BCOV invariant (for Calabi-Yau manifolds) is a birational invariant. If time permits, we will also interpret the extended BCOV invariant in terms of the motivic integration. The result presented in this talk is a joint work with Lie Fu.
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