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The structure of higher genus Gromov-Witten invariants of quintic 3-fold

The structure of higher genus Gromov-Witten invariants of quintic 3-fold

Series: Mathematics Colloquium
Location: Math 501
Presenter: Yongbin Ruan, University of Michigan

 The computation of higher genus Gromov-Witten invariants of quintic
3--fold (or compact Calabi-Yau manifold in general) has been a focal point of
research of geometric and physics for more than twenty years. A series of deep conjectures have been
proposed via mirror symmetry for the specific solutions as well as structures
of its generating functions. Building on our initial success for a proof of genus
two conjecture formula of BCOV, we present a proof of two conjectures regarding
the structure of the theory. The first one is Yamaguchi-Yau's conjecture that its
generating function is a polynomial of five generators and the other one is the
famous holomorphic anomaly equation which governs the dependence on four
out of five generators. This is a joint work with Shuai Guo and Felix Janda.

Refreshments in Math Commons Room at 3:30pm

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