Frontiers in Number Theory, Physics, and Geometry II

Part I. Conformal Field Theories for Strings and Branes

1. The Dilogarithm Function
Don Zagier

2. Conformal Field Theory and Torsion Elements of the Bloch Group
Werner Nahm

3. Tracks, Lie's, and Exceptional Magic
Predrag Cvitanovic

4. Gauge Theories from D Branes
Paolo Di Vecchia, Antonella Liccardo

5. On Superconformal Field Theories Associated to Very Attractive Quartics
Katrin Wendland

Part II. Discrete Groups and Automorphic Forms

6. An Introduction to Arithmetic Groups
Christophe Soulé

7. Automorphic Forms: A Physicist's Survey
Boris Pioline, Andrew Waldron

8. Strings and Arithmetic
Gregory Moore

9. Modular Curves, C*-algebras, and Chaotic Cosmology
Matilde Marcolli

10. Replicable Functions: An Introduction
John McKay, Abdellah Sebbar

11. Lectures on the Langlands Program and Conformal Field Theory
Edward Frenkel

Part III. Hopf Algebras and Renormalization

12. A Primer of Hopf Algebras
Pierre Cartier

13. Renormalization, the Riemann–Hilbert Correspondence, and Motivic Galois Theory
Alain Connes, Matilde Marcolli

14. Factorization in Quantum Field Theory: An Exercise in Hopf Algebras and Local Singularities
Dirk Kreimer

15. Algebraic Algorithms in Perturbative Calculations
Stefan Weinzierl

16. Multiple Logarithms, Algebraic Cycles and Trees
H. Gangl, A.B. Goncharov, A. Levin

DRM-restrictions

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Keywords: MATHEMATICS / General MAT000000