How to make quantum groups easier?

Roland van der Veen, (Groningen). Joint work with Dror Bar-Natan (Toronto)

Abstract 1:
Most quantum knot invariants come from quantum groups arising as the Drinfeld double of a Hopf algebra. That sounds complicated and the goal of this first part is to make it easier by providing a knot theoretical point of view.

Abstract 2:
After recalling the universal invariant of knots I mention two techniques for making it easier to deal with: generating functions and truncation of the algebra. The discussion is made more concrete by restricting to one of the simplest Drinfeld doubles, related to quantum sl_2. What comes out of this promises to be a series of strong yet effectively computable knot invariants with good properties with respect to tangle operations.

Bonus material: