Monodromic model for Khovanov-Rozansky homology
Kostiantyn Tolmachov (University of Toronto)
Abstract: Khovanov-Rozansky homology is a knot invariant which, by the result of Khovanov, can be computed as the Hochschild cohomology functor applied Rouquier complexes of Soergel bimodules. I will describe a new geometric model for the Hochschild cohomology of Soergel bimodules, living in the monodromic Hecke category. I will also explain how it allows to identify objects representing individual Hochsсhild cohomology groups as images of explicit character sheaves.
Based on the joint work with Roman Bezrukavnikov.
representation theory
Audience: researchers in the topic
Series comments: Description: Research seminar on Lie groups
This seminar will take place entirely online: Zoom Meeting Link. You should be able to watch live video at this link. Your microphone will be muted, but you are welcome to unmute it (microphone icon on the lower left of the Zoom window, perhaps visible only when you put your mouse near there) to ask a question.
| Organizers: | André Lee Dixon*, Ju-Lee Kim, Roman Bezrukavnikov* |
| *contact for this listing |