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SUMMARY:Algebraic models of rational circle-equivariant spectra  (spectra\
 , commutative ring spectra\, equivariantly commutative ring spectra) - Joh
 n Greenlees (University of Warwick)
DTSTART:20250516T131500Z
DTEND:20250516T141500Z
UID:TALK230563@talks.cam.ac.uk
DESCRIPTION:The real subject of this talk is joint work with Magdalena Ked
 ziorek in which we identify an algebraic model for\nequivariantly commutat
 ive ring T-spectra (for the circle group T\, and leaving `rational&rsquo\;
  as understood).&nbsp\;\nHowever to explain this it is helpful to begin wi
 th the algebraic model of ordinary T-spectra and for\nnaive-commutative ri
 ng T-spectra. In this case the space of closed subgroups of T is very simp
 le\, so we&nbsp\;\ncan give an explicit description of the models and how 
 to work with them. In particular\, the strong message\nis that once again 
 the `standard' model captures the principal features much more clearly tha
 n the `complete&rsquo\; model.\n(This is supposed to be an antidote to my 
 recent talk `Rational SU(3)-spectra in 18 blocks&rsquo\;)
LOCATION:Seminar Room 1\, Newton Institute
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