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SUMMARY:Cellular properties of nilpotent spaces
DTSTART:20130920T141500
DTEND:20130920T153000
DTSTAMP:20260916T043422Z
UID:74eef2cad99d98bbe363c93e48cd829accb7184b17c00f506aeefd73
CATEGORIES:Conferences - Seminars
DESCRIPTION:Jérôme Scherer (EPFL)\nThis is joint work with Wojciech Chac
 hólski\, Emmanuel Dror Farjoun\, and Ramón Flores. One property of class
 ifying spaces of discrete groups is that the pointed mapping space map*(BG
 \, BG) is (homotopically) discrete\, more precisely the fundamental group 
 functor induces an equivalence with Hom(G\, G). Which other spaces have th
 is property? For nilpotent spaces\, only classifying spaces do!\nTo attack
  this problem we study cellular properties of nilpotent spaces. We show in
  particular that a nilpotent space X "constructs" any of its Postnikov sec
 tions\, hence K(pi1 X\, 1). I will explain our strategy of this cellularit
 y statement and how it implies the claim about mapping spaces.
LOCATION:MA 10
STATUS:CONFIRMED
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