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SUMMARY:Homological representations for families of groups - Arthur Souli
 é\, Cambridge
DTSTART:20191113T160000Z
DTEND:20191113T170000Z
UID:TALK128995@talks.cam.ac.uk
CONTACT:Oscar Randal-Williams
DESCRIPTION:Braid groups have a representation theory of wild type\, in th
 e sense that there is no known classification schema. Hence it is useful t
 o shape constructions of linear representations for such family of groups 
 to understand its representation theory. For this purpose\,\nLawrence and 
 Bigelow constructed representations of the braid group on n strands using 
 the configuration space of m points of a n-punctured disc: namely\, the br
 aid group acts on the m-th homology group of a particular covering of the 
 configuration space. There is actually an underlying general method to bui
 ld such homological representations.\n\nIn this talk\, I will present a un
 ified functorial approach to this method for general families of groups. I
  will also show that\, under some additional assumptions\, general notions
  of polynomiality on functors are a useful tool to classify these represen
 tations.  This is a joint work with Martin Palmer.
LOCATION:MR13
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