Linking representation theory, singularity theory and non-commutative algebraic geometry (12w5067)



(Carleton University)

Osamu Iyama (University of Tokyo)

Helmut Lenzing (University of Paderborn)


The Banff International Research Station will host the "Linking representation theory, singularity theory and non-commutative algebraic geometry" workshop from October 28th to November 2nd, 2012.

In an earlier Workshop, we launched a number of test problems yielding a stress test for the representation theory of finite dimensional algebras, thereby stretching its capabilities to its limits or well beyond. These problems were chosen to provide a focus with a high potential in establishing fresh links to mathematical subjects of neighboring fields. We have been unexpectedly successful in running these stress tests. Not unexpectedly, however, our solutions have paved the way for new and important open questions. And more importantly, they did uncover further unexpected links.

The proposed Workshop of experts with largely varying background intends to attack these new problems in an interdisciplinary fashion. The new challenges will be met by extending existing, and forming new bridges between three main subjects: finite dimensional representation theory, theory of singularities, and non-commutative (exotic) spaces.

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 U.S. National Science Foundation (NSF), Alberta's Advanced Education and Technology, and Mexico's Consejo Nacional de Ciencia y Tecnología (CONACYT).