Galois Theoretic Arithmetic Geometry; Development of Galois–Teichmüller Theory and Anabelian Geometry
October 2010 | Kyoto, Japan
Galois–Teichmüller Theory and Arithmetic Geometry

Editor(s) Hiroaki Nakamura, Florian Pop, Leila Schneps, Akio Tamagawa

Adv. Stud. Pure Math., 63: 832pp. (2012). DOI: 10.2969/aspm/06310000
TABLE OF CONTENTS
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Advanced Studies in Pure Mathematics Vol. 63, - (2012).
Hiroaki Nakamura , Florian Pop , Leila Schneps , Akio Tamagawa
Advanced Studies in Pure Mathematics Vol. 63, - (2012).
Advanced Studies in Pure Mathematics Vol. 63, - (2012).
Asher Auel
Advanced Studies in Pure Mathematics Vol. 63, 1-30 (2012). https://doi.org/10.2969/aspm/06310001
KEYWORDS: Milnor conjecture, quadratic forms, Milnor $K$-theory, Galois cohomology, unramified cohomology, cohomological invariants, Brauer group, 11-02, 19-02, 11E04, 11E81, 11E88, 14F22, 14H25, 14J20, 16K50, 19G12, 19D45
Francis C. S. Brown
Advanced Studies in Pure Mathematics Vol. 63, 31-58 (2012). https://doi.org/10.2969/aspm/06310031
KEYWORDS: Mixed Tate motives, multiple zeta values, 11M32, 16T05, 13B05
Sarah Carr , Leila Schneps
Advanced Studies in Pure Mathematics Vol. 63, 59-89 (2012). https://doi.org/10.2969/aspm/06310059
KEYWORDS: Lie algebras, double shuffle, multiple zeta values, 17B40, 17B65, 17B70, 12Y05, 05E99
Pierre Cartier
Advanced Studies in Pure Mathematics Vol. 63, 91-119 (2012). https://doi.org/10.2969/aspm/06310091
Scott Corry
Advanced Studies in Pure Mathematics Vol. 63, 121-140 (2012). https://doi.org/10.2969/aspm/06310121
KEYWORDS: Finite graph, harmonic morphism, fundamental group, Galois theory, 05C25, 14H30, 11R32
Pierre Dèbes , François Legrand
Advanced Studies in Pure Mathematics Vol. 63, 141-162 (2012). https://doi.org/10.2969/aspm/06310141
KEYWORDS: Specialization, algebraic covers, twisting lemma, Hilbert's irreducibility theorem, PAC fields, finite fields, local fields, global fields, 11R58, 12E30, 12E25, 14G05, 14H30, 12Fxx, 14Gxx
Hidekazu Furusho
Advanced Studies in Pure Mathematics Vol. 63, 163-187 (2012). https://doi.org/10.2969/aspm/06310163
KEYWORDS: 11M32, 11G55
Kiichiro Hashimoto , Hiroshi Tsunogai
Advanced Studies in Pure Mathematics Vol. 63, 189-220 (2012). https://doi.org/10.2969/aspm/06310189
KEYWORDS: Galois theory, invariant theory, permutation groups, Cremona group, cross ratios, hyperelliptic curves, 12F12, 12F10, 14H05, 14H10, 20B25, 20B35
Yasutaka Ihara
Advanced Studies in Pure Mathematics Vol. 63, 221-249 (2012). https://doi.org/10.2969/aspm/06310221
KEYWORDS: 14H30, 14G20, 14G35
Naoki Imai
Advanced Studies in Pure Mathematics Vol. 63, 251-262 (2012). https://doi.org/10.2969/aspm/06310251
KEYWORDS: Group scheme, moduli space, 11F80, 14D20
Pierre Lochak
Advanced Studies in Pure Mathematics Vol. 63, 263-335 (2012). https://doi.org/10.2969/aspm/06310263
KEYWORDS: 11R32, 14D22, 57M99
Ivan Marin
Advanced Studies in Pure Mathematics Vol. 63, 337-357 (2012). https://doi.org/10.2969/aspm/06310337
KEYWORDS: 14G32, 20F36, 20F55
Andrew Obus
Advanced Studies in Pure Mathematics Vol. 63, 359-412 (2012). https://doi.org/10.2969/aspm/06310359
KEYWORDS: Branched cover, lifting, Galois group, Oort conjecture, 14H37, 12F10, 11G20, 12F15, 13B05, 13K05, 14G22, 14H30
Gereon Quick
Advanced Studies in Pure Mathematics Vol. 63, 413-448 (2012). https://doi.org/10.2969/aspm/06310413
KEYWORDS: Profinite homotopy, profinite completion, equivariant completion, 55P60, 14F35, 55Q90
Christopher Rasmussen
Advanced Studies in Pure Mathematics Vol. 63, 449-456 (2012). https://doi.org/10.2969/aspm/06310449
KEYWORDS: 14H30, 11G10, 11G32
Mohamed Saïdi
Advanced Studies in Pure Mathematics Vol. 63, 457-501 (2012). https://doi.org/10.2969/aspm/06310457
Alexander Schmidt
Advanced Studies in Pure Mathematics Vol. 63, 503-517 (2012). https://doi.org/10.2969/aspm/06310503
KEYWORDS: Anabelian geometry, motivic homotopy theory, étale homotopy type, 14F99, 18F20
Jakob Stix
Advanced Studies in Pure Mathematics Vol. 63, 519-563 (2012). https://doi.org/10.2969/aspm/06310519
KEYWORDS: Section conjecture, anabelian geometry, 14H30, 14G05, 12E30
Hiro-o Tokunaga
Advanced Studies in Pure Mathematics Vol. 63, 565-577 (2012). https://doi.org/10.2969/aspm/06310565
KEYWORDS: Quadratatic residue curve, Mordell–Weil group, 14E20, 14G99
Kirsten Wickelgren
Advanced Studies in Pure Mathematics Vol. 63, 579-600 (2012). https://doi.org/10.2969/aspm/06310579
KEYWORDS: Massey products, group/Galois cohomology, section conjecture, lower central series, 55S30, 11S25, 14H30
Zdzisław Wojtkowiak
Advanced Studies in Pure Mathematics Vol. 63, 601-627 (2012). https://doi.org/10.2969/aspm/06310601
Go Yamashita
Advanced Studies in Pure Mathematics Vol. 63, 629-658 (2012). https://doi.org/10.2969/aspm/06310629
KEYWORDS: $p$-adic multiple zeta values, $p$-adic multiple $L$-values, $p$-adic multiple polylogarithms, $p$-adic integration, motivic Galois groups, mixed Tate motives, algebraic $K$-theory, associators, $p$-adic KZ-equation, fundamental groups, Grothendieck–Teichmüller group, Tannakian category, 11G99, 11G55, 11M32
Yuichiro Hoshi , Shinichi Mochizuki
Advanced Studies in Pure Mathematics Vol. 63, 659-811 (2012). https://doi.org/10.2969/aspm/06310659
KEYWORDS: Anabelian geometry, combinatorial anabelian geometry, profinite Dehn twist, semi-graph of anabelioids, inertia group, hyperbolic curve, configurationa space, 14H30, 14H10
Hiroaki Nakamura
Advanced Studies in Pure Mathematics Vol. 63, 813-832 (2012). https://doi.org/10.2969/aspm/06310813
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