演講公告
新聞標題: ( 2016-09-08 )
演講主題:From Witten-Morse theory to SYZ Mirror Symmetry
主講人:馬梓銘教授(國立臺灣大學數學系)
演講日期:2016年年9月20日(星期二) 下午14:00 - 15:00
演講地點:(光復校區) 科學一館223室
茶會時間:當天下午1:30 (科學一館205室)
摘要內容:
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 defined by counting gradient flow trees with respect to Morse functions, which generalizes the remarkable Witten deformation of deRham differential. We will describe briefly 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.相關檔案:Talk_1050920.pdf
