报告题目：Higher dimensional Heegaard Floer homology and Hecke algebras  

报 告 人：田垠 教授 北京师范大学

报告时间：2021年12月10日 19:00 - 20:00

报告地点：腾讯会议 ID：394-423-777; PW: 1210

校内联系人：王骁 wangxiaotop@jlu.edu.cn

报告摘要： 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 contangent 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.

报告人简介：田垠，2014博士毕业于美国南加州大学，现就职于北京师范大学。研究方向为低维拓扑、范畴化、辛几何。在Geom. Topol.，Int. Math. Res. Notices，J. Symplectic Geom.，Advances in Mathematics，Quantum Topology，JOURNAL OF ALGEBRA等杂志发表学术文章。