中国科学院数学与系统科学研究院
数学研究所
数学科学全国重点实验室
几何研讨班
Speaker: 杨泓暕（斯坦福大学）
Inviter: 欧文浩
Language: Chinese
Title: The flip symmetry on Khovanov-Rozansky homology
Time&Venue: 2026年8月10日（星期一）15: 00-16: 00 & 思源楼S713
Abstract: Inspired by the conjugation symmetry behind involutive Heegaard Floer homology, we introduce and study the flip symmetry on Khovanov homology. This symmetry induces an involution on Khovanov homology, and we prove that it is the identity map with F_2 coefficients, resolving a conjecture of Viro. This allows us to identify two involutions on Khovanov homology of strongly invertible knots. Time permitting, I might also explain a work-in-progress where we generalize the aforementioned results to Khovanov-Rozansky gl_N link homology, and its relation to operators on type A Soergel bimodules. Part of this is joint work with Daren Chen.
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