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SUMMARY:Bousfield localization and commutative monoids
DTSTART:20130613T101500
DTEND:20130613T113000
DTSTAMP:20260508T125926Z
UID:535d3e90bf5a1062167c3d185cb04ea2b01f829b9d7bd4c72ad63b4e
CATEGORIES:Conferences - Seminars
DESCRIPTION:David White (Wesleyan)\nWe give conditions on a monoidal model
  category M and on a set of maps S so that the Bousfield localization of M
  with respect to S preserves strict commutative monoids. This problem was 
 motivated by an example due to Mike Hill which demonstrates that for the m
 odel category of equivariant spectra\, even very nice localizations can fa
 il to preserve strict commutative monoids. A recent theorem of Hill and Ho
 pkins gives conditions on the localization to prohibit this behavior. When
  we specialize our general machinery to the model category of equivariant 
 spectra we recover this theorem. En route to solving the localization prob
 lem we will introduce the Σn-equivariant monoid axiom\, which guarantees 
 us that commutative monoids inherit a model structure. This axiom has a ni
 ce generalization which gives model structures and semi-model structures o
 n algebras over an operad for various classes of operads. If there is time
  we will discuss this and say a word about how it interacts with Bousfield
  localization.
LOCATION:MA 12
STATUS:CONFIRMED
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