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Group field theory
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101	91 Documenta Math. Tame Class Field Theory for Singular Varieties over Algebraically Closed Fields Add to Reading List Source URL: www.math.uiuc.edu Language: English - Date: 2016-01-23 06:56:25 Algebraic geometry Cohomology theories Homological algebra Principal homogeneous space Cohomology Valuation Sheaf cohomology tale cohomology Torsor tale fundamental group Motivic cohomology Incomplete gamma function
102	615 Documenta Math. Kida’s Formula and Congruences To John Coates, for his 60th birthday Add to Reading List Source URL: www.math.uiuc.edu Language: English - Date: 2006-11-21 15:14:31 Algebraic number theory Galois theory Class field theory Field theory Cyclotomic fields Algebraic number field Main conjecture of Iwasawa theory Selmer group Iwasawa theory Galois module Splitting of prime ideals in Galois extensions Local class field theory
103	TOPICS IN ABSOLUTE ANABELIAN GEOMETRY III: GLOBAL RECONSTRUCTION ALGORITHMS Shinichi Mochizuki November 2015 Abstract. In the present paper, which forms the third part of a three-part series Add to Reading List Source URL: www.kurims.kyoto-u.ac.jp Language: English - Date: 2015-11-02 21:47:42 Algebraic number theory Galois theory Algebraic geometry Number theory Field theory Shinichi Mochizuki Anabelian geometry tale fundamental group P-adic Hodge theory Ring Frobenius endomorphism Group theory
104	673 Documenta Math. Visibility of the Shafarevich–Tate Group at Higher Level Add to Reading List Source URL: documenta.sagemath.org Language: English - Date: 2008-02-04 02:32:18 Analytic number theory Number theory Diophantine geometry Homological algebra Class field theory Galois module Elliptic curve Abelian variety Torsion Hecke operator TateShafarevich group Modular form
105	131 Documenta Math. Degeneration of Polylogarithms and Special Values of L-Functions for Totally Real Fields Add to Reading List Source URL: www.math.uiuc.edu Language: English - Date: 2009-02-25 10:07:03 Algebraic number theory Special functions Group cohomology Group theory Homological algebra Algebraic number field Abelian variety Polylogarithm Ring Modular form ArtinVerdier duality
106	PROJECT DESCRIPTION: HIGHER CATEGORICAL STRUCTURES AND THEIR APPLICATIONS PROPOSED RESEARCH 1. Background, context, and perspective Eilenberg and Mac Lane introduced categories, functors, and natural transformations in t Add to Reading List Source URL: www.math.uchicago.edu Language: English - Date: 2002-09-30 18:59:34 Homotopy theory Algebraic topology Category theory Higher category theory Algebraic geometry Higher-dimensional algebra Topological quantum field theory Homotopy group Directed algebraic topology Monoidal category Algebraic K-theory Homotopy
107	443 Documenta Math. Completely Faithful Selmer Groups over Kummer Extensions Add to Reading List Source URL: documenta.sagemath.org Language: English - Date: 2003-12-22 16:28:38 Field theory Number theory Cyclotomic fields Class field theory Algebraic number theory Iwasawa algebra Iwasawa theory Selmer group Torsion Algebraic number field Complex multiplication Elliptic curve
108	Functional Renormalization Group Approach to Interacting Fermi Systems: DMFT as a Booster Rocket Add to Reading List Source URL: www.cond-mat.de Language: English - Date: 2014-09-03 06:19:49 Quantum field theory Renormalization group Statistical mechanics Functional renormalization group
109	Tame characters and ramification of finite flat group schemes Shin Hattori Department of Mathematics, Hokkaido University Kita 10, Nishi 8, Kita-Ku, Sapporo, Hokkaido, , Japan Add to Reading List Source URL: www2.math.kyushu-u.ac.jp Language: English - Date: 2007-05-29 08:07:32 Algebraic number theory Ring theory Algebraic groups Algebraic structures Field theory tale morphism Galois module Flat morphism Formal group Profinite group Valuation Group scheme
110	631 Documenta Math. Banach-Hecke Algebras and p-Adic Galois Representations Add to Reading List Source URL: documenta.sagemath.org Language: English - Date: 2006-11-22 14:18:56 Representation theory Class field theory Group theory Langlands program Local Langlands conjectures IwahoriHecke algebra Group representation Banach algebra Weight Admissible representation Zonal spherical function Regular representation

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