Friday, August 5, 13.30, 7.527
Louis-Hadrien Robert (Hamburg)
Recent developements around the slN-homology.
(partly joint with Matt Hogancamp and Emmanuel Wagner)
The slN-invariant is a polynomial knot invariant built up
using the representations of the Hopf algebra U_q(slN).
The slN-homology is a categorification of the
slN-invariant: with every knot it associates a complex of
graded vector spaces whose graded Euler Characteristic is given by the
After an introduction about the slN-invariant, I'll
describe the knot homology machinery, then I will explain how some easy
but somewhat new constructions in the category of
slNrepresentations permits to extend the categorification
to the so-called fully colored slNinvariant.