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SUMMARY:On detection theorems in representation theory and generalized equ
 ivariant cohomology
DTSTART:20140919T141500
DTEND:20140919T153000
DTSTAMP:20260408T085032Z
UID:fb09e619c2dd01b8c3d323943ca190ee5421953bd675220f60d550f9
CATEGORIES:Conferences - Seminars
DESCRIPTION:Justin Noel\nLet G be a finite group. Artin's theorem says tha
 t we can recover the complex representation ring of G from the representat
 ions of the cyclic subgroups of G up to torsion\, or additive nilpotence. 
 Quillen's F-isomorphism theorem says that we can recover the mod-p cohomol
 ogy of G from the mod-p cohomology of the elementary abelian p-subgroups o
 f G up to multiplicative nilpotence. Both of these detection theorems can 
 be restated as results in equivariant stable homotopy theory.\nWe construc
 t and apply a general framework for proving analogues of these theorems in
  this context. As special cases we recover the above theorems as well as a
 nalogues for integral cohomology (due to Carlson)\, KO (partially due to F
 ausk)\, ko\, complex oriented theories (partially due to Hopkins-Kuhn-Rave
 nel)\, the many variants of topological modular forms\, Ln-local spectra\,
  and classical cobordism theories.\nThis is joint work with Akhil Mathew a
 nd Niko Naumann.
LOCATION:MA30 http://plan.epfl.ch/?lang=fr&room=MA30
STATUS:CONFIRMED
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