The University of Virginia (Charlottesville) hosted an international conference on Infinite-dimensional Aspects of Representation Theory and Applications. This volume contains papers resulting from the mini-courses 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. The specific topics covered include Hecke algebras, quantum groups, infinite-dimensional Lie algebras, quivers, modular representations, and Gromov-Witten invariants. The book is suitable for graduate students and researchers interested in representation theory.
Modular representation theory of Hecke algebras, a survey by S. Ariki An application of free Lie algebras to polynomial current algebras and their representation theory by V. Chari and J. Greenstein Canonical basic sets for Hecke algebras by N. Jacon On universal central extensions of $\mathfrak{sl}_n(A)$ by M. Lau Pseudoderivations, pseudoautomorphisms and simple current modules for vertex algebras by H. Li Hilbert scheme intersection numbers, Hurwitz numbers, and Gromov-Witten invariants by W.-P. Li, Z. Qin, and W. Wang On Demazure crystals for $U_q(D^{(3)}_4)$ by K. C. Misra Populations of solutions of the $XXX$ Bethe equations associated to Kac-Moody algebras by E. Mukhin and A. Varchenko Representations of rational Cherednik algebras by R. Rouquier A geometric construction of crystal graphs using quiver varieties: Extension to the non-simply laced case by A. Savage.
