A Geometric Approach to Khovanov Homology

：程哲驰（武汉大学）
：2024-11-18 09:40
：海韵园实验楼S106

报告人：程哲驰（武汉大学）

时  间：2024年11月18日9:40

地  点：海韵园实验楼S106

内容摘要:

Khovanov homology is originally introduced by Khovanov via representation theory in 2000, as a categorification of the Jones polynomial. Khovanov homology is a powerful tool in knot theory, say, it can be used to detect unknot by the work of Kronheimer and Mrowka, while it remains open if the Jones polynomial does the same. Many geometric approaches of Khovanov homology have been built since 2000. In this talk, we will focus on one of those approaches constructed by Seidel and Smith, called symplectic Khovanov homology, which is conjecturally isomorphic to Khovanov homology. We will discuss some of the recent progress on symplectic Khovanov homology.

个人简介：

程哲驰，武汉大学特聘副研究员。博士毕业于哥伦比亚大学，师从Mohammed Abouzaid。主要研究领域为辛几何与其在低维拓扑中的应用，研究兴趣包括Heegaard Floer同调，Symplectic  Khovanov 同调等，相关成果发表在Quantum Topol.，Algebr. Geom. Topol.等国际知名期刊。

 

联系人：杨璟玲