Published on *Max Planck Institute for Mathematics* (https://www.mpim-bonn.mpg.de)

Posted in

- Talk [1]

Speaker:

Friedrich Wagemann
Affiliation:

Nantes
Date:

Wed, 2017-05-17 10:30 - 12:00 Cirio-Martins (Advances 2015) categorify r-matrices and infinitesimal braidings in order to strive for a categorification of Vassiliev knot invariants. The place of a Lie algebra in their setting is taken by a crossed module of Lie algebras, as the easiest version of a Lie 2-algebra. Their main example is the "string Lie algebra", i.e. a crossed module constructed in 2006 by me which represents the non trivial class in $H^3(g)$ for the simple Lie algebra $g=sl_2(\mathbb{C})$. In our work with Salim RiviÃ¨re (Angers), we extend Cirio-Martin's work to all simple Lie algebra and beyond.

**Links:**

[1] https://www.mpim-bonn.mpg.de/taxonomy/term/39

[2] https://www.mpim-bonn.mpg.de/node/4234

[3] https://www.mpim-bonn.mpg.de/node/3946