Room P4.35, Mathematics Building

Anne-Laure Thiel, Instituto Superior Técnico

Categorification of singular braid monoids and of virtual braid groups

Rouquier categorified braid groups, in the sense that he associated to each braid a complex of Soergel bimodules such that complexes associated to isotopic braids are homotopy equivalent. I will start with recalling Rouquier's construction and then extend this result to singular braids and to virtual braids.
Support: CAMGSD, FCT