Two-Dimensional Quantum Gravity and Random Surfaces

The Victor Rothschild Memorial Symposia

All lectures will take place at the Israel Institute for Advanced Studies,
at the Edmond J. Safra, Givat Ram Campus

General Director: Steven Weinberg, University of Texas at Austin

 

In the past few years there has been much study of random two dimensional surfaces. These provide simple models of string theories with a few degrees of freedom, as well as toy models of quantum gravity. They have possible applications to the statistical mechanics of phase boundaries and to the development of an effective string description of QCD. Recently, methods have been developed to treat these theories nonperturbatively, based on discrete triangulations of the surfaces that can be generated by simple matrix models. Exact solutions with a rich mathematical structure have emerged. All these matters are discussed fully in this school.