Topologie de basse dimension, Title of the talk: On functoriality of the Blanchet-Khovanov homology, Colloque en l'honneur de Christian Blanchet, Université Paris Diderot, Paris, June 11-12, 2019
In this talk I will present our new view on the Christian Blanchet solution of the functoriality problem for the Khovanov homology. It results in the construction of the Blanchet–Khovanov algebras and few new functorial theories such as sl(2) tangle homology, quantum annular homology and a categorification of the colored Jones polynomial. The proofs are based on a simple geometric idea: replacing a foam with two intersecting surfaces and analyzing how deformations of these surfaces affect the foam. This is joint work with Kris Putyra, Matt Hogancamp and Stephan Wehrli.