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Algebra and Geometry Seminar/LA Joint Topology Seminar

Monday, April 2, 2018
4:00pm to 5:00pm
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East Bridge 201 (Richard P. Feynman Lecture Hall)
The structure of higher genus Gromov-Witten invariants of quintic 3-fold
Yongbin Ruan, Department of Mathematics, University of Michigan,

The computation of higher genus Gromov-Witten invariants of quantic 3--fold (or compact Calabi-Yau manifold in general) has been a focal point of research of geometry 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.

For more information, please contact Mathematics Dept. by phone at 626-395-4335 or by email at [email protected].