A homological hammer to pound an infinite problem into a finite calculation

Description:  A list of generators and relations offers a succinct presentation for an algebra over a field, but what can we deduce when looking at this presentation? If two algebras have similar presentations, they may also share other characteristics. I will illustrate several ways in which deformations of presentations can preserve ring theoretic properties. Unfortunately, this may require an infinite amount of additional information. I will discuss work with Brad Shelton (U. of Oregon) in which the problem is made finite via a homological constant attached to an algebra. I will demonstrate how this finite calculation works in several examples, and lay out the analogy to the enveloping algebras of Lie algebras. Date:  2010-03-10 Start Time:   16:00 Speaker:  Thomas Cassidy (Bucknell University, USA) Institution:  - Place:  Room 5.5 Research Groups: -Algebra and Combinatorics -Geometry -Algebra, Logic and Topology See more:   <Main>