Frontiers in Number Theory, Physics, and Geometry II -

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Résumé :
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....

Sommaire:
Part I: Conformal Field Theory. E. Frenkel: Lectures on the Langlands Program and Conformal Field Theory.- W. Nahm: Conformal Field Theory and Torsion Elements of the Bloch Group.- P. Cvitanovic: Tracks, Lie?s, and Exceptional Magic.- P. Di Vecchia/A. Liccardo: Gauge Theories from D. Branes.- K. Wendland: On Superconformal Field Theories Associated to Very Attractive Quartics.- Part II: Discrete Groups. C. Soul?: An Introduction to Arithmetic Groups.- B. Pioline/A. Waldron: Automorphic Forms: A Physicist?s Survey.- J. McKay/A. Sebbar: Replicable Functions: An Introduction.- D. Zagier: The Dilogarithm Function in Geometry and Number Theory.- H. Gangl/A.B.Goncharov/A. Levin: Multiple Logarithms, Algebraic Cycles and Trees.- M. Marcolli: Modular Curves, C-Algebras and Chaotic Cosmology.- G. Moore: Strings and Arithmetic.- Part III: Renormalization. A. Connes/M. Marcolli: Renormalization, The Riemann-Hilbert correspondence, and Motivic Galois Theory.- D. Kreimer: Factorization in Quantum Field Theory: An Exercise in Hopf Algebras and Local Singularities.- S. Weinzierl: Algebraic Algorithms in Perturbative Calculations.