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SUMMARY:On the algebraic EHP sequence
DTSTART:20140926T141500
DTEND:20140926T153000
DTSTAMP:20260407T041956Z
UID:03a334fa48da511a520306df9a6193ef1ce4f74fb8f573d593b0d4fd
CATEGORIES:Conferences - Seminars
DESCRIPTION:Nguyen The Cuong\nOne of the most basic problems in homologica
 l algebra is to construct explicit injective (projective) resolutions of m
 odules. We are interested in finding such construction for the reduced mod
  2 cohomology of the spheres Sn in the category of unstable modules U. The
  pseudo-hyper resolution is developed as an attempt to deal with this prob
 lem. The question is at present far from being solved but we manage someho
 w to archive some interesting properties of minimal injective resolutions 
 of H* (Sn\; F2) in U. These results provide a new point of view for the pr
 oblem of computing the E2 page of the unstable Adams spectral sequence con
 verging to homotopy groups of spheres. One of the first applications of th
 ese computations\, which is also the main goal of this talk\, is an elemen
 tary reconstruction of the algebraic EHP sequence and an approximation to 
 the "sphere of origin" question.
LOCATION:MA10 http://plan.epfl.ch/?lang=fr&room=MA10
STATUS:CONFIRMED
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