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

✍ Scribed by Pierre E. Cartier, Bernard Julia, Pierre Moussa, Pierre Vanhove

Publisher
Springer
Year
2007
Tongue
English
Leaves
809
Edition
1
Category
Library
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✦ Synopsis

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 theΠ’Β lecture courses, followed byΠ’Β shorter texts on special topics, of eminent mathematicians and physicists.

The present volume has three parts: Conformal Field Theories,Π’Β Discrete Groups, Renomalization.

The companion volume is subtitled:Π’Β On Random Matrices, Zeta Functions andΠ’Β Dynamical SystemsΠ’Β (Springer, 3-540-23189-7).

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This volume consists of contributions by participants and speakers at two conferences. The first was entitled Combinatorial Group Theory, Discrete Groups and Number Theory and was held at Fairfield University, December 8-9, 2004. It was in honor of Professor Gerhard Rosenberger's sixtieth birthday.