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SUMMARY:An algebraic model for rational SO(3) spectra
DTSTART:20150219T091500
DTEND:20150219T103000
DTSTAMP:20260408T005710Z
UID:d6e4a7ab48eb8a8d00ee8ce7d745451bee41497bca8fb40a72cacfe6
CATEGORIES:Conferences - Seminars
DESCRIPTION:Magdalena Kedziorek (EPFL)\nIn algebraic topology we consider 
 invariants of spaces with a G action\, such as G-cohomology theories\, whi
 ch are represented by G-spectra. Since it is quite difficult to make syste
 matic computations in the category of G-spectra\, it is useful to have an 
 algebraic model of it\, i.e. a simpler\, algebraic category Quillen equiva
 lent to G-spectra. The work towards providing an algebraic model has been 
 started by Greenlees with several cases established by Greenlees\, Shipley
  and Barnes\, including results for finite groups\, tori and O(2). In this
  talk I will present an overview of an algebraic model for rational SO(3)-
 spectra. I will describe the general idea of a proof and concentrate on th
 e main new ingredient\, namely the interaction of the left Bousfield local
 isation and two adjunctions: induction – restriction and restriction- co
 induction. I will justify why this approach will be useful in considering 
 algebraic models for further groups.
LOCATION:CM 106
STATUS:CONFIRMED
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