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Room P4.35, Mathematics Building
Louis-Hadrien Robert, Institut Mathématique de Jussieu, Paris
Indecomposable modules over a Kuperberg-Khovanov algebras
The polynomial is a quantum invariant for knots.
It has been categorified by Khovanov in 2004 in a TQFT fashion. The
natural way to extend this categorification to an invariant of
tangle is construct a TQFT. From this construction emerge
some algebras called Khovanov-Kuperberg algebras (or
-web algebras) and some particular projective
modules called web-modules over these algebras. I will give a
combinatorial caracterisation of indecomposable web-modules.
Categorification mini-workshop