【学术报告】Khovanov skein homology for links in the thickened torus

• 主讲人：Yi Xie
• 举办方： Beijing-Moscow Mathematics Colloquium by Sino-Russian Mathematics Center
• 时间： 2022-03-18 17:00 - 2022-03-18 18:00
• 地点： online

Recording: https://disk.pku.edu.cn:443/link/16EF94A12F9984919BAED5B0FEF3F4C7
Valid Until：2026-04-30 23:59

 

Slides:  ../docs/20220322160817135059.pdf

 

Abstract: Khovanov homology is a powerful combinatorial invariant for links in the 3-sphere. Asaeda, Przytycki and Sikora defined a generalization of Khovanov homology for links in thickened compact surfaces.  In this talk, we will review their definition and show that the Asaeda-Przytycki-Sikora homology detects the unlink and torus links in the thickened torus. This is joint work with Boyu Zhang.

 

Bio: Yi Xie is an assistant professor at Beijing International Center for Mathematical Research, Peking University. His research focuses on mathematical gauge theory and its application in low-dimensional topology.