Network: Invariants and Representations of Algebras

UIA Antwerp, Bielefeld-Chemnitz, Edinburgh-Glasgow, Essen, Ioannina, Leeds, Murcia, Paris VI, Torun, Trondheim


Euroconference: Murcia 1997

Interaction between Ring Theory and Representation Theory


Theme. In the last twenty years, general ring theory and the representation theory of algebras have grown as two separate subjects but with many parallel ideas which often are hidden. In general ring theory, the relationship between the category of all modules and the subcategory of all finitely presented ones is of great importance (after all, every module can be written as a direct limit of finitely presented ones, so one may consider the category of all modules as a sort of completion of the category of the finitely presented ones). Of particular importance are the algebraically compact (= pure injective) modules. Recent advances in the representation theory of algebras also focus attention on this class of modules. The aim of the conference is to outline the use of representations in ring theory, or more generally, in different areas of algebra. The use of representation theory in algebra has to be seen as a corner-stone of the development of a new broad topic, the noncommutative algebraic geometry.

The conference will last 6 days (Monday - Saturday). It will be organized in plenum sessions (survey lectures, long lectures and "perspective" sessions) and parallel sessions (for short communications). Survey talks are conceived as a way of introducing young researchers to the methods and open problems in the area. Each of these invited survey lectures will consist of two 50 minutes talks in order to move in a reasonable pace. The duration of the remaining long lectures will also be 50 minutes, short communications will last 20 minutes. Between the lectures there should be sufficient time for remarks and informal discussions. Two plenum sessions will be devoted to discuss the perspectives and new directions in the use of modules in different parts of algebras. In this way, also young researchers should get familiar with the short and long term directions of the subject; these sessions are moderated by invited keynote speakers.


28.6.1996 Last modified: 28.6.1996

The four Euroconferences organized by the Network "Invariants and Representations of Algebras".