Spine title: CFT, TFT, and quantum groups.

Includes bibliographical references.

Connection coefficients for ype Jackson integral and YangBaxter equation ; Representations of the moonshine module vertex operator algebra ; The construction of the moonshine module as a _p rbifold ; Star products, quantum groups, cyclic cohomology and pseudodifferential calculus ; The universal atrix ; Fusion rings for modular representations of Chevalley groups ; Quantum groups and flag varieties ; Operadic formulation of the notion of vertex operator algebra ; Torus actions, moment maps, and the symplectic geometry of the moduli space of flat connections on a twomanifold ; Vertex operator superalgebras and their representations ; Topological invariants for anifolds using representations of mapping class groups. II. Estimating tunnel number of knots ; Poisson Lie groups, quantum duality principle, and the quantum double ; Local oint functions and the KnizhnikZamolodchikov equation Kazuhiko Aomoto and Yoshifumi Kato ; Chongying Dong ; Chongying Dong and Geoffrey Mason ; Moshe Flato and Daniel Sternheimer ; C Fronsdal and A Galindo ; Galin Georgiev and Olivier Mathieu ; Victor Ginzburg Nicolai Reshetikhin and Eric Vasserot ; YiZhi Huang and James Lepowsky ; Lisa C Jeffrey and Jonathan Weitsman ; Victor Kac and Weiqiang Wang ; Toshitake Kohno ; M A SemenovTianShansky ; Yassen S Stanev and Ivan T Todorov