中科院数学与系统科学研究院
数学研究所
几何分析研讨班
报告人：周正一 博士 (Institute for Advanced Study)
题 目：Symplectic field theory and applications in symplectic/contact topology
时 间：2020.12.28（星期一）, 09:30-10:30
地 点：数学院南楼N202
Zoom会议：690 8930 9076 密码：677467
摘 要：Symplectic field theory is a grand framework of packaging holomorphic curves into symplectic/contact invariants introduced by Eliashberg-Givental-Hofer. In this talk, I will explain a useful variant/specialization of symplectic field theory called symplectic cohomology and a new algebraic formalism of the rational symplectic field theory in terms of bi-Lie infinity algebras. Then I will focus on their applications in the study of symplectic cobordisms and fillings, including existences and uniqueness aspects of fillings as well as structural results regarding the symplectic cobordism category.