华罗庚青年数学论坛综合报告:Quillen metric, BCOV invariant and motivic integration

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

综合报告

报告人： 张野平 博士（KIAS）

题  目：Quillen metric, BCOV invariant and motivic integration

时  间：2021.04.30（星期五），09:00-10:00

地  点：数学院南楼N204室   腾讯会议：102 584 974

摘  要：Bershadsky, Cecotti, Ooguri and Vafa constructed a real valued invariant for Calabi-Yau manifolds, which is now called the BCOV invariant.  The BCOV invariant is conjecturally related to the Gromov-Witten theory via mirror symmetry. In this talk, we prove the conjecture that birational Calabi-Yau manifolds have the same BCOV invariant. We also build an analogue between the BCOV invariant and the motivic integration. The result presented in this talk is a joint work with Lie Fu.