Wednesday, February 8th, 2017
11:00am - 12:00pm, in McCormack 2-419

Jie Zhou

Perimeter Institute, Canada

Modular forms in the Gromov-Witten theory of Calabi-Yau varieties

Abstract: Calabi-Yau varieties are higher dimensional analogues of elliptic curves. They enjoy very rich geometric, as well as arithmetic Properties. In this talk, I will first review the notions of Calabi-Yau manifold and Gromov-Witten invariant, and some background on mirror symmetry. Then I will explain how to prove the modularity of the generating series of Gromov-Witten invariants for some particular examples, by combining techniques from modular forms and from mirror symmetry.