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CATEGORIES:Extraordinary Category Theory Seminar
SUMMARY:Homological algebra as a stable homotopy theory - 
 Zhen Lin Low (University of Cambridge)
DTSTART;TZID=Europe/London:20150901T141500
DTEND;TZID=Europe/London:20150901T151500
UID:TALK60595AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/60595
DESCRIPTION:There is a well-known analogy between the homologi
 cal algebra of chain complexes of abelian groups a
 nd the stable homotopy theory of spectra. I will t
 ry to explain how homological algebra in an abelia
 n category is an example of an abstract stable hom
 otopy theory\, using the formalism of categories o
 f fibrant objects. Time permitting\, I may also ex
 plain how to think about the dreaded octahedral ax
 iom of triangulated categories from the perspectiv
 e of homotopy theory.\n\nNo knowledge of homotopy 
 theory (either classical\, stable\, or abstract) w
 ill be assumed in this talk.
LOCATION:MR5\, Centre for Mathematical Sciences
CONTACT:Zhen Lin Low
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