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SUMMARY:Introduction to semi-abelian categories - Julia Goedecke\, DPMMS
DTSTART:20111129T141500Z
DTEND:20111129T151500Z
UID:TALK33952@talks.cam.ac.uk
CONTACT:Julia Goedecke
DESCRIPTION:Semi-abelian categories were introduced by Janlidze\, Marki an
 d Tholen to solve MacLane's longstanding problem of finding a framework th
 at reflects the categorical properties of (all) groups as nicely as abelia
 n categories do for abelian groups. Homological algebra can be studied ver
 y nicely in semi-abelian categories\, but they also lend themselves to the
  study of radical theory\, commutator theory and to other generalisations 
 from group theory such as semi-direct products\, actions and crossed modul
 es. \n\nIn this talk I will give the definition of a semi-abelian category
  via the concept of protomodular categories introduced by Bourn\, and will
  then explore the main properties which we use when working in this settin
 g. I will also speak a little about exact sequences and homology. 
LOCATION:MR5\, Centre for Mathematical Sciences
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