organized by M. Salmhofer and J. Yngvason
Idea behind the program
Many-body quantum theory is a large and well-developed field of theoretical physics, with many important applications in condensed matter physics, nuclear physics, and astrophysics. The discovery of the quantum Hall effect, of non-Fermi-liquid behaviour and high-temperature superconductivity, of Bose-Einstein-condensation, and other interesting phenomena, continue to have an enormous impact on many-body theory. In particular, the study of these phenomena has shown the limitations of many of the standard theoretical techniques. Consequently, many-body quantum theory is more than ever in the focus of research of theoretical physics. Key problems include treating systems of particles with strong interactions, constraints, analyzing the behaviour of low-dimensional systems, and understanding of dimensional crossovers and quantum phase transitions.
In mathematical physics, substantial progress has been made in the last two decades on various aspects of many-body physics, such as proving Fermi liquid behaviour, existence of Bose-Einstein condensation, superconductivity, long-distance behaviour of sigma models.
The goal of the program at the ESI is to stimulate the communication between theoretical and mathematical physicists working in the field, to provide new problems for mathematical research on these topics and theoretical feedback to practitioners working in the field.
Structure of the program
The main purpose of the program is the interaction and collaboration of the scientists present at the ESI. We plan a series of colloquia and lectures to bring out the main topics of the program.
The program will start with the workshop
Margherita Disertori will give lectures on Random Matrix Theory on September 22 and September 28, 2004.
The flow equation days (October 20-22, 2004) will bring together experts in the field of continuous renormalization group equations.
A further workshop