Geometric approach to the categorification of braiding relations

Hao Zheng, Zhongshan University

The construction of a knot homology usually involves a verification of
its invariance under various Reidemeister moves and such work is
usually carried out by brute force checking.

A similar problem arises in the categorification of Hecke algebras for
one has to establish homotopy equivalences mimicing the braiding
relations involved there. I will show how the task can be facilitated
by certain deep results in algebraic geometry (towards the Weil
conjectures).