Interactions Between Noncommutative Algebra and Algebraic Geometry (08w5072)


Michael Artin (MIT)

(Carleton University)

Lance Small (University of California, San Diego)

(University of Washington)


The Banff International Research Station will host top researchers in its workshop on "Interactions Between Noncommutative Algebra and Algebraic Geometry" next week, October 26 - October 31, 2008. Noncommutative Algebraic Geometry is a relatively new field that studies interactions between the subjects of noncommutative algebra and algebraic geometry. Noncommutative geometry is described by having functions on a space that do not commute, so $xy neq yx$. It is felt that some type of noncommutative geometry may be help explain the physical structure of the space we live in. Noncommutative algebra is fundamental in quantum mechanics and other areas of physics. Our meeting will bring together experts from the field of Algebraic Geometry: the geometry of spaces of solutions to polynomials, and Noncommutative Algebra: the study of algebras with variables that do not commute. We will study the structure and examples of noncommutative spaces to further our understanding and we will benefit from the interaction of these two groups.

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 Tecnologí­a (CONACYT).