New Trends in Noncommutative Algebra and Algebraic Geometry (12w5049)


Michael Artin (MIT)

Jason Bell (Simon Fraser University)

(Carleton University)

Lance Small (University of California, San Diego)

(University of Washington)


The Banff International Research Station will host the "New Trends in Noncommutative Algebra and Algebraic Geometry" workshop from October 28th to November 2nd, 2012.

Our proposal deals with interactions between noncommutative algebra and geometry. Noncommutative algebra has been an incredibly useful tool in many scientific disciplines, especially physics, where the theory has been applied to accurately describe phenomena that occur at the quantum level.

In recent years, it has been observed that many objects from
noncommutative algebra can be better understood using techniques and constructions from geometry. Indeed, many objects of study in noncommutative algebra can be associated in a natural way to geometric objects along with certain given geometric data. This new viewpoint has led to the rapid development of the subject. Conversely, techniques from noncommutative algebra are now being applied in certain geometric contexts, yielding previously unknown results in the area. It is with this in mind that we propose bringing together researchers whose work bridges these two areas with the objective of facilitating the development of these disciplines.

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).