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Caltech/USC/UCLA Joint Topology Seminar

Monday, March 9, 2020
4:00pm to 5:00pm
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Linde Hall 310
BCOV axioms of Gromov-Witten theory of Calabi-Yau 3-fold
Yongbin Ruan, Zhejiang University,

One of biggest and most difficult problems in the subject of Gromov-Witten theory is to compute higher genus Gromov-Witten invariants of compact Calabi-Yau 3-fold such as the quintic 3-folds. There have been a collection of remarkable axioms/conjectures from physics (BCOV B-model) regarding the universal structure or axioms of higher genus Gromov-Witten theory of Calabi-Yau 3-folds. In the talk, I will first explain 4 BCOV axioms explicitly for the quintic 3-folds. Then, I will outline a solution for 3+1/2 of them.

For more information, please contact Math Department by phone at 626-395-4338 or by email at [email protected].