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SUMMARY:Homology of monoids with coefficients in group completion - Nigel 
 Burke (University of Cambridge)
DTSTART:20170509T131500Z
DTEND:20170509T141500Z
UID:TALK72546@talks.cam.ac.uk
CONTACT:Tamara von Glehn
DESCRIPTION:The group completion of a monoid gives a left adjoint to the i
 nclusion of the category of groups into monoids.  The Janelidze Galois str
 ucture for this adjunction has been worked out\, unfortunately the general
  theory that gives higher Hopf formulae for the corresponding homology doe
 sn't apply to this setting. I've been working on determining a Hopf-type f
 ormula for this homology using a different approach\, based on a proof of 
 Hopf's formula for group homology using crossed modules.
LOCATION:MR5\, Centre for Mathematical Sciences
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