Purpose of the School
The purpose of the school is to present the recent progress in non-commutative
geometry, infinite dimensional geometry and operator algebras with
applications to quantum statistical mechanics and quantum field theory.
Lectures will start from first principles but will rapidly reach an
advanced level. Participants should be confirmed scientists or students
with a doctoral or post-doctoral level (PhD) in mathematics or theoretical
physics.
Lectures
- String theories, L. ALVAREZ-GAUME
- C*-algebras and statistical mechanics, H. ARAKI
- Utilisation des theories de jauge en geometrie, J.P. BOURGUIGNON
- Non-commutative geometry, A. CONNES
- Integrable systems, L. FADDEEV
- Foundations of quantum field theory R. HAAG
- Infinite dimensional geometry, A. JADCZYK
- Knots and strings, V. JONES
- Non commutative geometry and elementary particles, D. KASTLER
Quantum symmetries in quantum theory
- , G. MACK
- Particle physics, P. RAMOND
- Field theory, F. SCHAPOSNIK
- Constrained systems, J. STASHEFF
- Differential algebras and quantum field theories, R. STORA
- Quantum field theory models, A.S. WIGHTMAN
- Quantum groups, S.L. WORONOWICZ
Book
A book containing the lectures will be published after the school
and a copy will be sent to all participants.