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VERSION:2.0
PRODID:-//Memento EPFL//
BEGIN:VEVENT
SUMMARY:A looping-delooping adjunction for spaces
DTSTART:20141031T141500
DTEND:20141031T153000
DTSTAMP:20260408T105349Z
UID:dfae467f31f79e4041ff122c00c737a3c0b33b4f91e1569071fad1b5
CATEGORIES:Conferences - Seminars
DESCRIPTION:Martina Rovelli (EPFL)\nFarjoun and Hess introduced twisted ho
 motopical categories\, a framework for monoidal categories that come with 
 a looping-delooping adjunction between nice subcategories of monoids and c
 omonoids. This allows a formal theory of bundles. Although much of this ki
 nd of structure was inspired by classical constructions and results holdin
 g for topological spaces\, it does not not seem possible to construct such
  a structure for spaces in a strict sense. Using the work of Milnor and Do
 ld\, we will explain that the classifying group functor and (Milnor’s mo
 del of) the loop functor behave almost as adjoint functors\, between a cat
 egory of nice pointed spaces and nice topological groups.  The argument l
 eads to a classification of principal bundles over a fixed space\, as a du
 al version of the well-known classification of bundles with a fixed group.
LOCATION:MA 30
STATUS:CONFIRMED
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