University of Cambridge > Talks.cam > Algebra and Representation Theory Seminar > The homological coloured sl3 invariant

The homological coloured sl3 invariant

Add to your list(s) Download to your calendar using vCal

  • UserLouis-Hadrien Robert, University of Hamburg
  • ClockWednesday 04 March 2015, 16:30-17:30
  • HouseMR12.

If you have a question about this talk, please contact David Stewart.

I will start with a result on sl_3-representations: I will give an explicit resolution of every simple sl_3-module in terms of tensor powers of the fundamental representation and its dual. Then I will recall the sl_3-link homology due to Khovanov and I will explain that the homology of the unknot is naturally endowed with a two structures of sl_3-representation: the fundamental representation and its dual. I will tell how to use these two facts to construct an homology theory which decategorify on the colored sl_3-invariant for framed links. While the construction is pretty natural there is a major technical difficulty because the sl_3-homology is not known to be functorial for foam cobordisms.

This talk is part of the Algebra and Representation Theory Seminar series.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.

 

© 2006-2020 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity