Test problems for the theory of finite dimensional algebras (10w5069)



(Carleton University)

Helmut Lenzing (University of Paderborn)

(Universitaet Bielefeld)


The Banff International Research Station will host the "Test problems for the theory of finite dimensional algebras" workshop from September 12 to 17, 2010.

To check the status of a sufficiently mature mathematical theory, late Irving Kaplansky has coined the concept of a "test problem" (in the context of infinite abelian groups). The function of a test problem is to carry out a stress test of existing theory, thereby stretching its capabilities to its limits or well beyond. From such a test of present theory we hope to identify core problems and theories yielding a strong stimulus to further development. We focus on such problems with a high potential in establishing fresh links to mathematical subjects of neighboring fields.
The proposed Workshop intends to apply such tests to a number of directions by focussing on the most pressing questions of the present research.

The Banff International Research Station for Mathematical Innovation and Discovery (BIRS) is a collaborative Canada-US-Mexico venture that provides an environment for creative interaction as well as the exchange of ideas, knowledge, and methods within the Mathematical Sciences, with related disciplines and with industry. The research station is located at The Banff Centre in Alberta and is supported by Canada's Natural Science and Engineering Research Council (NSERC), the US National Science Foundation (NSF), Alberta's Advanced Education and Technology, and Mexico's Consejo Nacional de Ciencia y Tecnologia (CONACYT).