The
aim of the conference was to present current progress on the following
(interrelated) topics: vertex operator algebras and chiral algebras,
conformal field theory, the (geometric) Langlands program, affine Lie
algebras, Kac-Moody algebras, quantum groups, crystal bases and
canonical bases, quantum cohomology and K-theory, geometric
representation theory, categorification, higher-dimensional Kac-Moody
theory, integrable systems, quiver varieties, representations of real
and -adic groups, and quantum gauge theories.
The
papers in this volume present representation theory connections to
numerous other subjects, as well as some of the most recent advances in
representation theory, including those which occurred thanks to the
application of techniques in other areas of mathematics, and of ideas
of quantum field theory and string theory.