Abstract

I will discuss the oscillatory integrals on the mirror Landau-Ginzburg models for toric mirrors. They are related to genus zero Gromov-Witten invariants and are compatible with homological mirror symmetry. The asymptotic expansion of such integrals leads to the Gamma II conjecture for toric varieties. I will also report some recent progress in some non-toric situation inspired by the Gross-Siebert program.

About the speaker

Prof. Bohan Fang is an Associate Professor in BICMR and Peking University, China. His Research Area: Mathematical physics, algebraic and symplectic geometry.