Frontiers in Number Theory, Physics, and Geometry II [electronic resource] :On Conformal Field Theories, Discrete Groups and Renormalization / edited by Pierre Cartier, Pierre Moussa, Bernard Julia, Pierre Vanhove.
by Cartier, Pierre [editor.]; Moussa, Pierre [editor.]; Julia, Bernard [editor.]; Vanhove, Pierre [editor.]; SpringerLink (Online service).
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BookPublisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2007.Description: XXVIII, 789 p. online resource.ISBN: 9783540303084.Subject(s): Mathematics | Geometry, algebraic | Number theory | Mathematical physics | Mathematics | Number Theory | Algebraic Geometry | Mathematical and Computational PhysicsDDC classification: 512.7 Online resources: Click here to access online | Item type | Current location | Call number | Status | Date due | Barcode |
|---|---|---|---|---|---|
| MAIN LIBRARY | QA241-247.5 (Browse shelf) | Available |
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Conformal Field Theories for Strings and Branes -- The Dilogarithm Function -- Conformal Field Theory and Torsion Elements of the Bloch Group -- Tracks, Lie's, and Exceptional Magic -- Gauge Theories from D Branes -- On Superconformal Field Theories Associated to Very Attractive Quartics -- Discrete Groups and Automorphic Forms -- An Introduction to Arithmetic Groups -- Automorphic Forms: A Physicist's Survey -- Strings and Arithmetic -- Modular Curves, C*-algebras, and Chaotic Cosmology -- Replicable Functions: An Introduction -- Lectures on the Langlands Program and Conformal Field Theory -- Hopf Algebras and Renormalization -- A Primer of Hopf Algebras -- Renormalization, the Riemann–Hilbert Correspondence, and Motivic Galois Theory -- Factorization in Quantum Field Theory: An Exercise in Hopf Algebras and Local Singularities -- Algebraic Algorithms in Perturbative Calculations -- Multiple Logarithms, Algebraic Cycles and Trees.
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 the lecture courses, followed by shorter texts on special topics, of eminent mathematicians and physicists. The present volume has three parts: Conformal Field Theories, Discrete Groups, Renomalization. The companion volume is subtitled: On Random Matrices, Zeta Functions and Dynamical Systems (Springer, 3-540-23189-7).
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