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PRODID:-//Memento EPFL//
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SUMMARY:What is a semi-abelian category?
DTSTART:20130315T141500
DTEND:20130315T153000
DTSTAMP:20260511T085152Z
UID:90c0746666fb42d339273035f6f9277c1bef03f98786123da1d0d084
CATEGORIES:Conferences - Seminars
DESCRIPTION:Marino Gran (Université Catholique de Louvain-la-Neuve)\nThe 
 problem of finding an axiomatic context capturing some typical\nproperties
  of the category of groups was already mentioned by S. Mac Lane\nin the ar
 ticle [1]. Only recently the introduction of the notion of\nsemi-abelian c
 ategory [2] made it possible to treat many fundamental\nproperties the cat
 egories of groups\, Lie algebras\, crossed modules and\ncompact groups hav
 e in common\, in a similar way to the one the notion of\nabelian category 
 allows for a unified treatment of module categories and\nof their categori
 es of sheaves. The theory of semi-abelian categories\nprovides a suitable 
 categorical setting to treat some fundamental aspects\nof non-abelian homo
 logical algebra\, radical theory and commutator theory.\nThis introductory
  talk will focus on some basic aspects of the theory\, and\non a couple of
  more recent results obtained in collaboration with T.\nEveraert\, T. Van 
 der Linden and M. Duckerts [3\,4].\nReferences\n[1] S. Mac Lane\, Duality 
 of groups\, Bull. Am. Math. Soc. 56 (6)\, 486-516\n(1950)\n[2] G. Janelidz
 e\, L. Marki and W. Tholen\, Semi-abelian categories\, J. Pure\nAppl. Alge
 bra 168\, 367-386 (2002)\n[3] T. Everaert\, M. Gran and T. Van der Linden\
 , Higher Hopf formulae for\nhomology via Galois Theory\, Adv. Math. 217\, 
 2231-2267 (2008)\n[4] M. Duckerts\, T. Everaert and M. Gran\, A descriptio
 n of the fundamental\ngroup in terms of commutators and closure operators\
 , J. Pure Appl. Algebra\n216\, 1837-1851 (2012)
LOCATION:MA 10
STATUS:CONFIRMED
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