Seminar series
Date
Thu, 13 Oct 2011
Time
15:00 -
16:00
Location
L3
Speaker
Petter Bergh
Organisation
Trondheim
This is based on joint work with Dave Jorgensen. Given a Gorenstein algebra,
one can define Tate-Hochschild cohomology groups. These are defined for all
degrees, non-negative as well as negative, and they agree with the usual
Hochschild cohomology groups for all degrees larger than the injective
dimension of the algebra. We prove certain duality theorems relating the
cohomology groups in positive degree to those in negative degree, in the
case where the algebra is Frobenius (for example symmetric). We explicitly
compute all Tate-Hochschild cohomology groups for certain classes of
Frobenius algebras, namely, certain quantum complete intersections.