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SUMMARY:A generalized Blakers-Massey theorem and Goodwillie calculus
DTSTART:20170425T101500
DTEND:20170425T113000
DTSTAMP:20260511T085143Z
UID:f423b47177074f1a6bc195bf41032bcb54acf56bcf52da41ccffe234
CATEGORIES:Conferences - Seminars
DESCRIPTION:Georg Biedermann (Paris 13)\n(joint with M. Anel\, E. Finster\
 , A. Joyal) We explain our generalized Blakers-Massey theorem. For this we
  introduce the notion of modality: a unique factorization system whose lef
 t class is closed under base change. The example of n-connected/n-truncate
 d maps leads to the classical Blakers-Massey. In the context of Goodwillie
  calculus we find another example: factoring a natural transformation into
  a P_n-equivalence followed by an n-excisive map. This leads to a Blakers-
 Massey Theorem for the Goodwillie tower. This gives a quick and independen
 t proof of the fact that homogeneous functors deloop.
LOCATION:CM 113
STATUS:CONFIRMED
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