For a printable version (PDF file) click here.

About the poster:

A problem in representation theory has often a corresponding problem in geometry, and conversely. The solution of one problem then can be achieved by solving the other one. For instance, a typical problem is the classification of (indecomposable) objects in algebra and geometry. Here Auslander-Reiten theory is a powerful tool.

A specific example is illustrated by the diagram on the poster which shows parts of an Auslander-Reiten quiver. Certain components and cones of representations of a wild canonical algebra are obtained from components of vector bundles over the corresponding weighted projective line. The link between representation theory and geometry is given by the indicated derived equivalence which is obtained by tilting theory.