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Polynomial cohomology Hopf algebras

Le : 27/05/2013 14h00
Par : Andy Baker, University of Glasgow
Lieu : I 001
Lien web :
Résumé : The ring of quasi-symmetric functions is a Hopf algebra isomorphic to $H^*(\Omega\Sigma\mathbb{C}P^\infty)$ and the Ditters conjecture asserts that this is a polynomial algebra. I'll explain how to use the Eilenberg-Moore spectral sequence to prove results of this type for $H^*(\Omega X)$ for a space $X$ with certain properties. This gives a variation on previous work with Birgit Richter in the case of $X=\Sigma\mathbb{C}P^\infty$.