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.