Algebra Seminar: Birge Huisgen-Zimmermann (UCSB), 'Representation-tame algebras need not be homologically tame'

Event Date: 

Monday, November 18, 2013 - 2:00pm to 3:00pm

Event Location: 

  • 4607B South Hall

Event Contact: 

Ken Goodearl


Abstract: I will start with a mini-survey of pre-2000 results on the Finitistic Dimension Conjectures for finite dimensional algebras (which date back to 1960), and then move on to progress made post-2000. In particular, I will discuss the representation theory and homology of biserial algebras, a class of algebras first studied in depth by Gelfand and Ponomarev; they were motivated by the fact that the representation theory of such algebras translates into the representation theory of the Lorentz group. The finite dimensional representations of biserial algebras are completely understood, but their homology still holds surprises.