报告题目：A relation between open Gromov-Witten invariants and multi-component KP hierarchy

报 告 人：杨成浪

所在单位：武汉大学

报告时间：July 15, 15:20-16:10

报告地点：成人直播平台 数学楼第五研讨室

报告摘要: The open Gromov-Witten invariants of smooth toric Calabi-Yau threefolds in mathematics, as well as the A-model topological string amplitudes in physics, can be computed by the method of topological vertex. In this talk, I will introduce our recent work on the three component KP integrability of the topological vertex, which proves the Aganagic-Dijkgraaf-Klemm-Marino-Vafa Conjecture proposed in 2006. As a corollary, open Gromov-Witten theory of all smooth toric Calabi-Yau threefolds are related to multi-component KP hierarchy. This talk is based on a joint work with Zhiyuan Wang and Jian Zhou.

报告人简介： 杨成浪，现为武汉大学助理教授，曾为北京理工大学本科，北京大学博士，中国科学院数学所博士后。主要研究方向为数学物理，包括Gromov-Witten不变量，可积系统以及相关的组合问题。已在Adv. Math.，Peking Math. J.，Proc. London Math. Soc.等杂志发表多篇论文。