Frontiers in Number Theory, Physics, and Geometry: On Conformal Field Theories, Discrete Groups and Renormalization

The relation between mathematics and physics has a long history, in which the role of number theory and of other more abstract parts of mathematics has recently become more prominent.

More than ten years after a first meeting in 1989 between number theorists and physicists at the Centre de Physique des Houches, a second 2-week event focused on the broader interface of number theory, geometry, and physics.

This book is the result of that exciting meeting, and collects, in 2 volumes, extended versions of theВ lecture courses, followed byВ shorter texts on special topics, of eminent mathematicians and physicists.

The present volume has three parts: Conformal Field Theories,В Discrete Groups, Renomalization.

The companion volume is subtitled:В On Random Matrices, Zeta Functions andВ Dynamical SystemsВ (Springer, 3-540-23189-7).