This is the web site of the Algebraic Topology Team in Barcelona (Grup de Topologia Algebraica de Barcelona, 2009SGR-1092). Our research interests include a variety of subjects in algebraic topology, group theory, homological algebra, and category theory. Here you will find information about us and our common activities. |
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Friday's Topology Seminar |
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February 15th, 2012, 10:00 CRM.
Sarah Whitehouse (University of Sheffield), "Derived A-infinity algebras from the point of view of operads",
Abstract:A-infinity algebras arise whenever one has a multiplication which is "associative up to homotopy". There is an important theory of minimal models which involves studying differential graded algebras (dgas) via A-infinity structures on their homology algebras. However, this only works well over a ground field. Recently Sagave introduced the notion of a derived A-infinity algebra in order to extend the theory of minimal models to a general ground ring. I will put derived A-infinity algebras into the context of operads and show that the operad for derived A-infinity algebras can be viewed as a free resolution of the operad for bidgas, in the same sense that the A-infinity operad is a free resolution of the operad for dgas.
This is joint work with Muriel Livernet and Constanze Roitzheim.
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