David Benson (University of Aberdeen)
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PDL C-38
Pre-talk Title: Calculating cohomology.
Abstract: I'll talk about how to calculate cohomology of finite dimensional algebras, especially self-injective algebras, and what it's good for.
Title talk: The nilCoxeter algebras and their cohomology.
Abstract talk: Given a Coxeter group, there is an associated nilCoxeter algebra given by replacing the generators squaring to one by generators squaring to zero, but keeping the remaining braid relations. This is a local algebra, so it makes sense to ask for the structure of Ext of the trivial module. This is a very interesting non-commutative semiprime polynomial identity ring given by explicit generators and quadratic relations. It's related to some groups called cactus groups, via Koszul duality.