Title: Graphical calculus for gl(1|1)-representations and their categorification.
2013.11.12 |
| Date | Wed 11 Dec |
| Time | 15:15 — 16:15 |
| Location | Aud. D3 |
Abstract
Intertwining operators of quantum sl(2)-representations can be used to define the Jones polynomial of links. Similarly, one can define the Alexander polynomial as a quantum invariant using representations of the super Lie algebra gl(1|1).
In the talk, I will present a diagrammatical calculus for tensor representations of gl(1|1) and I will explain how to use it in order to define the Alexander polynomial. I will then sketch a construction of categorification of tensor powers of the vector representation.
