拓扑研讨班：Higher dimensional Heegaard Floer homology and Hecke algebras

中科院数学与系统科学研究院

数学研究所

学术报告

拓扑研讨班

报告人：田垠 教授（北京师范大学）

题  目：Higher dimensional Heegaard Floer homology  and Hecke algebras 

时  间：2023.03.08（星期三）14:30-16:30

地  点：南楼 N802

摘  要：Higher dimensional Heegaard Floer homology (HDHF) is a higher dimensional analogue of Heegaard Floer homology in dimension three. It's partly used to study contact topology in higher dimensions. In a special case, it's related to symplectic Khovanov homology. In this talk, we discuss HDHF of cotangent fibers of the cotangent bundle of an oriented surface and show that it is isomorphic to various Hecke algebras. This is a joint work with Ko Honda and Tianyu Yuan.