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

Objectives

The proposed workshop is to bring in experts working in different directions of quantum affine Lie algebras, extended affine Lie algebras, toroidal Lie algebras and their applications to physics and other areas of mathematics. The study of extended affine Lie algebras is still in a formative stage. In particular, the representation theory of extended affine Lie algebras and its connection with other areas of mathematics and physics is yet to be fully understood. Bringing together experts in quantum affine Lie algebras and extended affine Lie algebras
may provide new insights and explore possible new directions of research.

This conference is very timely because although there have been conferences in related areas in recent years, none of them focused on the interactions of
experts in quantum affine Lie algebras and extended affine Lie algebras. The interaction afforded by the meeting would stimulate contact between people in these two areas, clarify and make rigorous the connections between the two, and in turn provide new insights into both subjects. In addition, both subjects are closely related to important developments in other areas of mathematics and mathematical physics.