[English] Quantum symmetries in theoretical physics and mathematics

Aim

Introduce the participants to the main aspects of the theory of quantum groups (Hopf algebras) and their applications in theoretical physics and mathematics.

Lecturers and scientific program

N. Andruskiewitsch (Córdoba, Argentine), M. Dubois Violette (Orsay, France), D. Evans (Cardiff, UK), A. Ocneanu (Penn State, USA), O. Ogievetsky (CPT-Marseille, France), N. Reshetikhin (Berkeley, USA), M. Rosso (Strasbourg, France), S. Woronowicz(Varsovie, Poland), J.B. Zuber (CEA-Saclay, France).

• Hopf algebras of finite dimension, braided Hopf algebras, quantum groups at roots of unity, Yetter-Drinfeld modules (N. Andruskiewitsch).
• Bialgebras associated with a family of tensors, Hopf algebras for bilinear forms, monoidal categories (M. Dubois Violette).
• Quantum symmetries and TQFT (A. Ocneanu)
• Differential calculus and differential operators on quantum groups, quantum planes and quantum homogeneous spaces (O. Ogievetsky).
• Quantum integrable systems, Lie Poisson groups, deformation quantization (N. Reshetikhin).
• Quasi triangular structure of quantum enveloping algebras, R matrices and braid groups, quantum affine algebras, Frobenius morphism in zero characteristics and Luztig-Frobenius kernel (M. Rosso).
• Quantum symmetries and operator algebras (D. Evans)
• Quantum groups and C* algebras (S. Woronowicz).
• Modular invariance and boundary conditions in conformal field theories, integrable models on the lattice, fusion algebras and generalized Dynkin diagrams (J.B. Zuber).

Scientific directors

• R. Coquereaux (CPT-Marseille, France)
• R. Trinchero (CAB-Bariloche, Argentine)

Scientific committee

• N. Andruskiewitsch (Córdoba, Argentine)
• R. Coquereaux (CPT-Marseille, France)
• M. Dubois Violette (Orsay, France)
• O. Ogievetsky (CPT-Marseille, France)
• F. Schaposnik (La Plata, Argentine)
• J. Stasheff (Chapel Hill, USA)
• R. Trinchero (CAB-Bariloche, Argentine)

Local organizing committee (Centro Atómico Bariloche)

• A. García
• H. Montani
• R. Trinchero

Working language

English

Date and Location

From Monday 10 to Friday 22 of January 2000, at San Carlos de Bariloche, Patagonia, Argentina.

Prerequisites

Mathematicians or theoretical physicists. Students having started a thesis or post doctoral students.

Deadline for application

October 29, 1999.

WEB pages

• http://www.cpt.univ-mrs.fr/~coque/bariloche2000.html
• http://cabtep5.cnea.gov.ar/bariloche2000.html