Seminário de Teoria Quântica do Campo Topológica   RSS

21/11/2012, 15:30 — 16:30 — Sala P4.35, Pavilhão de Matemática
, Institut Mathématique de Jussieu, Paris

Indecomposable modules over a Kuperberg-Khovanov algebras

The 𝔰𝔩 3 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 0 +1 +1 TQFT. From this construction emerge some algebras called Khovanov-Kuperberg algebras (or 𝔰𝔩 3 -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

Organizadores correntes: Roger Picken, Marko Stošić.

Projecto FCT PTDC/MAT-GEO/3319/2014, Quantization and Kähler Geometry.