Orateur: Wojciech Politarczyk (Warsaw University)
Titre: Khovanov homology of periodic links.

Résumé: A link L is periodic if it admits a diagram which is invariant under a semi-free rotation of R^3. I will discuss how we can adapt some tools from equivariant algebraic topology and representation theory to work for Khovanov homology of periodic links. This leads to a construction of equivariant Khovanov homology which is an invariant of periodic links under equivariant isotopies. Equivariant Khovanov homology can be used to study whether a given link is periodic, but, on the other hand, this invariant can also reveal some information about Khovanov homology itself.