Quantum Symmetries/Symetries Quantiques: Volume 64

Preface. Part 1 - Mathematics. Courses: 1. Fields, Strings and Duality (R. Dijkgraaf). 2. How the algebraic Bethe Ansatz works for integrable models (L.D. Faddeev). 3. Supersymmetric quantum theory, non-commutative geometry and gravitation (J. Froehlichet al.). 4. Lectures on the quantum geometry of string theory (B.R. Greene). 5. Symmetry approach to the XXZ model (T. Miwa). Seminars: 1. Superstring dualities, Dirichlet Branes and the small scale structure of space (M. Douglas). 2. Testing the standard model and beyond (J. Ellis). 3. Quantum group approach to strongly coupled two dimensional gravity (J.-L. Gervais). 4. N=2 Superalgebra and non-commutative geometry (H. Grosse et al.). 5. Lecture on N=2 supersymmetric gauge theory (W. Lerche). Part 2 - Physics. Courses: 6. Noncommutative geometry: the spectral aspect (A. Connes). 7.The KZB equations on Riemann surfaces (G. Felder). 8. From diffeomorphism groups to loop spaces via cyclic homology (J.-L. Loday). 9. Quantum groups and braid groups (M. Rosso). 10. From index theory to non commutative geometry (N. Teleman). 11. Compact quantum groups (S.L. Woronowicz). Seminars: 6. Seiberg-Witten invariants and vortex equations (O. Garcia-Prada). 7. Quantization of Poisson algebraic groups and Poisson homogeneous spaces (P. Etingof and D. Kazhdan). 8. Eta and Torsion (J. Lott). 9. Symplectic formalism in conformal field theory (A. Schwarz). 10. Quantization of geometry associated to the quantized Knizhnik-Zamolodchikov equations (A. Varchenko).