Spectral analysis of finite dimensional algebras and singularities

Abstract

We give a summary on spectral techniques for finite dimensional algebras and study its link to singularity theory. In particular, we offer a contribution to the categorification of the Milnor lattice of two-dimensional singularities through triangulated categories naturally associated with a weighted projective line.

42 pages to appear in "Trends in Representations of Algebras and Related Topics" (Editor: Andzej Skowronski)