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SUMMARY:The homological coloured sl3 invariant - Louis-Hadrien Robert\, Un
 iversity of Hamburg
DTSTART:20150304T163000Z
DTEND:20150304T173000Z
UID:TALK56713@talks.cam.ac.uk
CONTACT:David Stewart
DESCRIPTION:I will start with a result on sl_3-representations: I\nwill gi
 ve an explicit resolution of every simple\nsl_3-module in terms of tensor 
 powers of the fundamental\nrepresentation and its dual. Then I will recall
  the\nsl_3-link homology due to Khovanov and I will explain\nthat the homo
 logy of the unknot is naturally endowed with a two structures of sl_3-repr
 esentation: the fundamental representation and its dual. I will tell how t
 o use these two facts to construct an homology theory which decategorify o
 n the colored\nsl_3-invariant for framed links. While the construction\nis
  pretty natural there is a major technical difficulty because the sl_3-hom
 ology is not known to be functorial for foam cobordisms.
LOCATION:MR12
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