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CATEGORIES:Category Theory Seminar
SUMMARY:Protoadditive functors and abstract Galois groups
- Marino Gran\, Université catholique de Louvain
DTSTART;TZID=Europe/London:20110413T141500
DTEND;TZID=Europe/London:20110413T154500
UID:TALK30837AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/30837
DESCRIPTION:A connection between the Galois-theoretic approach
to semi-abelian homology and homological closure
operators is established. In particular\, a genera
lised Hopf formula for homology is obtained\, allo
wing the choice of a new kind of functors as coeff
icients. A key role in this work is played by the
notion of protoadditive functor\, which makes it p
ossible to calculate the abstract fundamental grou
ps corresponding to several reflections in the cat
egories of groups\, rings\, crossed modules and co
mpact groups. \n\nThis is joint work with M. Ducke
rts and T. Everaert.\n
LOCATION:MR14\, Centre for Mathematical Sciences
CONTACT:Nathan Bowler
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