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Galois-Teichmüller Theory and Arithmetic Geometry
Edited by: Hiroaki Nakamura, Okayama University, Japan, Florian Pop, University of Pennsylvania, Philadelphia, PA, Leila Schneps, University of Paris VI, France, and Akio Tamagawa, Kyoto University, Japan
A publication of the Mathematical Society of Japan.
cover
Advanced Studies in Pure Mathematics
2012; 832 pp; hardcover
Volume: 63
ISBN-10: 4-86497-014-9
ISBN-13: 978-4-86497-014-3
List Price: US$148
Member Price: US$118.40
Order Code: ASPM/63
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Since the 1980s, Grothendieck's "Esquisse d'un Programme" has triggered tremendous developments in number theory and arithmetic geometry, extending from the studies of anabelian geometry and related Galois representations to those of polylogarithms and multiple zeta values, motives, rational points on arithmetic varieties, and effectiveness questions in arithmetic geometry.

This volume contains twenty-four articles based on talks presented at two international meetings that focused on the above themes. The meetings were held in Kyoto in October 2010. The volume includes both survey articles and research papers that provide useful information about this area of investigation.

Volumes in this series are freely available electronically 5 years post-publication.

Published for the Mathematical Society of Japan by Kinokuniya, Tokyo, and distributed worldwide, except in Japan, by the AMS.

Readership

Graduate students and research mathematicians interested in Galois-Teichmüller theory and arithmetic geometry.

Table of Contents

  • A. Auel -- Remarks on the Milnor conjecture over schemes
  • F. C. S. Brown -- On the decomposition of motivic multiple zeta values
  • S. Carr and L. Schneps -- Combinatorics of the double shuffle Lie algebra
  • P. Cartier -- On the double zeta values
  • S. Corry -- Harmonic Galois theory for finite graphs
  • P. Dèbes and F. Legrand -- Twisted covers and specializations
  • H. Furusho -- Geometric interpretation of double shuffle relation for multiple \(L\)-values
  • K. Hashimoto and H. Tsunogai -- Noether's problem for transitive permutation groups of degree \(6\)
  • Y. Ihara -- Comparison of some quotients of fundamental groups of algebraic curves over \(p\)-adic fields
  • N. Imai -- Dimensions of moduli spaces of finite flat models
  • P. Lochak -- Results and conjectures in profinite Teichmüller theory
  • I. Marin -- Galois actions on complex braid groups
  • A. Obus -- The (local) lifting problem for curves
  • G. Quick -- Some remarks on profinite completion of spaces
  • C. Rasmussen -- An abelian surface with constrained \(3\)-power torsion
  • M. Saïdi -- Fake liftings of Galois covers between smooth curves
  • A. Schmidt -- Motivic aspects of anabelian geometry
  • J. Stix -- On cuspidal sections of algebraic fundamental groups
  • H. Tokunaga -- A note on quadratic residue curves on rational ruled surfaces
  • K. Wickelgren -- \(n\)-nilpotent obstructions to \(\pi_1\) sections of \(\mathbb P^1 - \{0,1,\infty \}\) and Massey products
  • Z. Wojtkowiak -- Lie algebras of Galois representations on fundamental groups
  • G. Yamashita -- \(p\)-adic multiple zeta values, \(p\)-adic multiple \(L\)-values, and motivic Galois groups
  • Y. Hoshi and S. Mochizuki -- Topics surrounding the combinatorial anabelian geometry of hyperbolic curves I: Inertia groups and profinite Dehn twists
  • H. Nakamura -- Some congruence properties of Eisenstein invariants associated to elliptic curves
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