Quantum affine Lie algebras, extended affine Lie algebras, and applications (08w5015)


Yun Gao (York University)

Naihuan Jing (North Carolina State University)

(University of Windsor)

Kailash Misra (North Carolina State University)


Affine Lie algebras are mathematical objects that describe the symmetries of certain physical systems. They and their quantum analogues have applications to many beautiful areas of mathematics and physics.

The conference "Quantum affine Lie algebras, extended affine Lie algebras, and applications" at BIRS, March 2-7, 2008, will bring together leading experts on two of the most important generalizations of affine Lie algebras--the theory of quantum affine Lie algebras and extended affine Lie algebras. It is hoped that the activities of this conference will help to better understand the relationship between these theories and provide new insights and directions for 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 Tecnología (CONACYT).