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SUMMARY:An Unstable Representability Criterion - Marcus Zibrowius ( Univer
 sity of Cambridge)
DTSTART:20100226T163000Z
DTEND:20100226T180000Z
UID:TALK23534@talks.cam.ac.uk
CONTACT:Andreas Holmstrom
DESCRIPTION:Some (co)homology theories in algebraic geometry arise as homo
 topy groups of certain auxiliary constructions\, for example algebraic _K_
 -theory. In these cases\, one can give simple sufficient conditions for th
 ese theories to be representable in the unstable *A*^1^-homotopy category.
 \n\nThe result can be found as Theorem 3.1 in Hornbostel's paper on *A*^1^
 -representability of Hermitian _K_-theory. However\, the proof I hope to g
 ive follows a simpler argument that I learned from Markus Severitt. The ma
 in difference to Hornbostel's treatment is the use of Dugger's model categ
 ory rather than Morel/Voevodsky's.\n\nAt the end of my talk\, Peter Arndt 
 will give a brief clarification of the notion of an enriched category.
LOCATION:somewhere in the Centre for Mathematical Sciences
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