Hochschild cohomology of A-infinity algebras

Constanze Roitzheim (University of Glasgow)

Monday 26th April, 2010 16:00-17:00 Mathematics Building, room 204


In the 1960s, A-infinity algebras were introduced to study the cohomology of topological spaces with products and are now known to arise widely in various areas of mathematics. Roughly speaking, A-infinity algebras are generalisations of associative algebras. We are going to explain how to extend the definition of Hochschild cohomology from associative algebras to A-infinity algebras and how this will help solving realizability problems in topology and present some new results concerning derived A-infinity algebras. This talk will be very basic and will require no preliminaries about A-infinity algebras or Hochschild cohomology at all.

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