Some problems in representation theory posed at a special session at the
XI International Conference on Representations of Algebras
Pátzcuaro/México, 16-20 August, 2004
Here is a list of problems which have been posed at a problem session at the ICRA XI at Pátzcuaro/México. This problem session has been chaired by Helmut Lenzing. The problems have been compiled by Angela Holtmann, Andrew Hubery, and Henning Krause.
- Ragnar-Olaf Buchweitz: Deformations of algebras
- Michael Butler: Replication phenomena at the tame-wild border and periodic algebras
- William Crawley-Boevey: Endomorphism dimensions of dimension vectors
- Yuriy A. Drozd: Representation type of dimension vectors and modality of representations
- Osamu Iyama: Self-orthogonal categories
- Henning Krause: The number of exceptional modules of fixed dimension
- José Antonio de la Peña: Tame representation type is open
- Idun Reiten: Conjectures and open problems from the book of Auslander, Reiten, and Smalø
- Claus Michael Ringel: Brauer-Thrall conjectures
- Raphaël Rouquier: Triangulated categories of Calabi-Yau dimension two
- Jan Schröer: The number of irreducible components of module varieties
- Andrzej Skowronski: Maximal length of complexes
- Øyvind Solberg: Finite generation of the Hochschild cohomology ring modulo nilpotent elements
- Andrei Zelevinsky: Cluster algebras and cluster categories