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Geometry from categorical enumerative invariants

  • Speaker: Junwu Tu (ShanghaiTech University)

  • Time: Nov 28, 2023, 16:00-17:15

  • Location: M1001, College of Science Building

Abstract

Assuming certain comparison between non-commutative Hodge structures and classical Hodge structures, we show the categorical enumerative invariants associated with a smooth projective family of Calabi-Yau 3-folds satisfy the holomorphic anomaly equations. This naturally leads to the study of geometric structures on moduli spaces of smooth projective Calabi-Yau 3-fold.