Contemporary Mathematics 2005; 154 pp; softcover Volume: 392 ISBN10: 082183701X ISBN13: 9780821837016 List Price: US$57 Member Price: US$45.60 Order Code: CONM/392
 The University of Virginia (Charlottesville) hosted an international conference on Infinitedimensional Aspects of Representation Theory and Applications. This volume contains papers resulting from the minicourses and talks given at the meeting. Beyond the techniques and ideas related to representation theory, the book demonstrates connections to number theory, algebraic geometry, and mathematical physics. Specific topics covered include Hecke algebras, quantum groups, infinitedimensional Lie algebras, quivers, modular representations, and GromovWitten invariants. The book is suitable for graduate students and researchers interested in representation theory. Readership Graduate students and research mathematicians interested in representation theory. Table of Contents  S. Ariki  Modular representation theory of Hecke algebras, a survey
 V. Chari and J. Greenstein  An application of free Lie algebras to polynomial current algebras and their representation theory
 N. Jacon  Canonical basic sets for Hecke algebras
 M. Lau  On universal central extensions of \(\mathfrak{sl}_n(A)\)
 H. Li  Pseudoderivations, pseudoautomorphisms and simple current modules for vertex algebras
 W.P. Li, Z. Qin, and W. Wang  Hilbert scheme intersection numbers, Hurwitz numbers, and GromovWitten invariants
 K. C. Misra  On Demazure crystals for \(U_q(D^{(3)}_4)\)
 E. Mukhin and A. Varchenko  Populations of solutions of the \(XXX\) Bethe equations associated to KacMoody algebras
 R. Rouquier  Representations of rational Cherednik algebras
 A. Savage  A geometric construction of crystal graphs using quiver varieties: Extension to the nonsimply laced case
