Dualising modules and (co)homology

We are having a working seminar to work through the Hochschild duality of van den Bergh, and to see how to approach for Poisson (co)homology.

The group will meet every second Monday at 2pm in Room 5326. The seminars should last between an hour and an hour-and-a-half.

First Semester

• 16/10 Hochschild (co)homology I (Stephane Launois) + organisation
• 30/10 Hochschild (co)homology II (Lionel Richard)
• 13/11 Examples (T.B.A)
• 27/11 Van den Bergh’s proof in outline (T.B.A.)

Second Semester

• Derived categories
• Details of the proof
• Kraehmer’s new proof
• Poisson (co)homology and proofs(?)

Literature:

• C.Kassel, Homology and cohomology of associative algebras - A concise introduction to cyclic homology
• J.-L. Loday, Cyclic homology.
• M. van den Bergh, A relation between Hochschild homology and cohomology for Gorenstein rings, Proc.Amer.Math.Soc. 126 (1998), 1345--1348.
• C. Weibel, An Introduction to Homological Algebra.

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