Seminar series
Date
Thu, 16 Oct 2008
Time
14:30 -
15:30
Location
L3
Speaker
Petter Bergh
Organisation
Trondheim / Oxford
In 1989, Happel raised the following question: if the Hochschild cohomology
groups of a finite dimensional algebra vanish in high degrees, then does the
algebra have finite global dimension? This was answered negatively in a
paper by Buchweitz, Green, Madsen and Solberg. However, the Hochschild
homology version of Happel's question, a conjecture given by Han, is open.
We give a positive answer to this conjecture for local graded algebras,
Koszul algebras and cellular algebras. The proof uses Igusa's formula for
relating the Euler characteristic of relative cyclic homology to the graded
Cartan determinant. This is joint work with Dag Madsen.