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"Cell complexes and splitting algebras"

Le : 07/01/2009 14h15
Par : Vladimir RETAKH (Rutgers University, invité Matpyl)
Lieu :
Lien web :
Résumé : Noncommutative splitting algebras were introduced by I. Gelfand, V. Retakh, S. Serconek and R. Wilson. They are related to factorizations of polynomials over noncommutative rings. It turns out that any cell complex defines a splitting algebra and such algebras are quadratic for "good" cell complexes. We will discuss connections between properties of cell complexes and related splitting algebras. Fir example, such algebra is Koszul if and only if the corresponding cell complex is a homological sphere.