A relation between open
Gromov-Witten invariants and
multi-component KP hierarchy
报告专家:杨成浪(中科院数学与系统科学研究院)
报告时间:2025年4月7日(星期一)下午3:30-4:30
报告地点:国家天元数学西南中心505
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, all open Gromov-Witten theory of 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.
专家简介:杨成浪,现为中国科学院数学所博士后,本科毕业于北京理工大学,博士毕业于北京大学,师从刘小博教授。杨成浪博士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.,J. London Math. Soc.,Proc. London Math. Soc.等杂志发表多篇论文。
邀请人:李世豪