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SUMMARY:A torus theorem for homotopy nilpotent groups
DTSTART:20151013T101500
DTEND:20151013T113000
DTSTAMP:20260407T100408Z
UID:9519b4b7a4bae4bc1d60738fc76723b3ce415588ddb036c920a816d0
CATEGORIES:Conferences - Seminars
DESCRIPTION:Jérôme Scherer\nThis is joint work with Cristina Costoya and
  Antonio Viruel. Homotopy nilpotent groups have been defined by Biedermann
  and Dwyer as certain homotopy algebras over the "Goodwillie calculus alge
 braic theories" (one for each nilpotency class). This yields a beautiful f
 iltration of loop spaces where homotopy abelian loop spaces are precisely 
 infinite loop spaces. In order to do computations however a more naive not
 ion of nilpotency is useful. We introduce a new invariant called "extensio
 n by principal fibrations length"\, explain how it is related to homotopy 
 nilpotency\, and apply it to describe all finite homotopy nilpotent loop s
 paces.
LOCATION:CM113
STATUS:CONFIRMED
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