During May 1721, 2005, an international conference ... was held in North Carolina State UniversityPref.

Includes bibliographical references.

A class of gradings of simple Lie algebras ; Conjugacy results for the Lie algebra mathfrak sl_2 over an algebra which is a UFD ; KirillovReshetikhin modules associated to _2 ; Support spaces and AuslanderReiten components ; On the cohomology of modular Lie algebras ; Eisenstein series on loop groups: MaassSelberg relations. IV ; Generalized LittlewoodRichardson rule for exceptional Lie algebras _6 and _4 ; An introduction to _n and its graph related quotients ; Affine geometric crystal of type ^(1)_2 ; New constructions of YangBaxter systems ; Construction of some algebras associated to directed graphs and related to factorizations of noncommutative polynomials ; Geometric and combinatorial realizations of crystals of enveloping algebras ; Lie algebras of small dimension ; Symmetric polynomials and _D uantum vertex algebras ; _T ertex algebras ; On intertwining operators and recursions ; Representations of vertex operator algebras ; On nonsemisimple fusion rules and tensor categories ; The duality between vertex operator algebras and coalgebras, modules and comodules ; Some developments in vertex operator algebra theory, old and new ; Twisted modules and quasimodules for vertex operator algebras ; Chiral algebras and partition functions ; Modular forms and almost linear dependence of graded dimensions ; k,r) dmissible configurations and intertwining operators ; Hilbert schemes of points on the minimal resolution and soliton equations ; Twining characters and Picard groups in rational conformal field theory Karin Baur and Nolan Wallach ; Stephen Berman and Jun Morita ; Vyjayanthi Chari and Adriano Moura ; Rolf Farnsteiner ; Jorg Feldvoss ; Howard Garland ; Ayumu Hoshino ; David Nacin ; Toshiki Nakashima ; Florin F Nichita and Deepak Parashar ; Vladimir Retakh Shirlei Serconek and Robert Lee Wilson ; Alistair Savage ; H Strade ; I I Anguelova ; Maarten J Bergvelt ; Corina Calinescu ; Chongying Dong and Cuipo Jiang ; Jurgen Fuchs ; Keith Hubbard ; James Lepowsky ; Haisheng Li ; Geoffrey Mason and Michael P Tuite ; Antun Milas ; Mirko Primc ; Zhenbo Qin and Weiqiang Wang ; Christoph Schweigert Jurgen Fuchs and Ingo Runkel