Mathematics Graduate Students Organization

Seminar:

Date: January 28

Hochschild cohomology of an associative algebra has a graded ring structure and a compatible graded Lie algebra structure. The structures on Hochschild cohomology reveal information about the algebra and its deformations. One class of algebras with interesting Hochschild cohomology is quantum complete intersections which are a non-commutative analog of truncated polynomial rings. The behavior of Hochschild cohomology of this class of algebras has been shown to vary greatly based on the choice of quantum coefficients, exhibiting behaviors unseen with commutative algebras. In this talk, we explore the behavior of Hochschild cohomology of group extensions of quantum complete intersections.