Aganagic’s invariant is Khovanov homology & Some groups from condensed matter physics

Lorenzo Riva, CMSA

Aganagic’s invariant is Khovanov homology Webster computed the Khovanov homology of (the closure of) a braid in terms of the action of that braid on a certain KLRW category. Aganagic proposed that the same computation could be done in the Fukaya-Seidel category of the multiplicative Coulomb branch associated to a weighted quiver. In this talk we will recap the story so far and then sketch LePage and Shende’s proof of Aganagic’s proposal.

Bowen Yang, CMSA

Some groups from condensed matter physics I would like to talk about some groups coming from the study of quantum spin systems. They inspired a construction of generalized homology theories related to Azumaya algebras.