DATE2016-09-29 16:10-17:00


SPEAKER馬梓銘 教授(台灣大學數學系

TITLEFrom Witten-Morse Theory to Mirror Symmetry

ABSTRACT Wedge product on deRham complex of a Riemannian manifold M can be pulled back to H(M) via explicit homotopy, constructed using Green's operator, to give higher product structures. Fukaya conjectures the Witten deformation of these higher product structures have semi-classical limits as operators de ned by counting gradient ow trees with respect to Morse functions, which generalizes the remarkable Witten deformation of deRham di erential. We will describe brie y the proof of Fukaya's conjecture, and an application to Mirror symmetry which realizes the scattering diagram as semi-classical limit of solution to the Maurer-Cartan equation.