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Galois theory
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71	677 Documenta Math. Galois Algebras, Hasse Principle and Induction–Restriction Methods Add to Reading List Source URL: documenta.sagemath.org Language: English - Date: 2011-11-21 14:27:45 Ring theory Algebraic number theory Non-associative algebras Lie groups Algebraic structures Brauer group Mutation Algebraic number field Integral element Quaternion algebra J-structure Clifford algebra
72	Lecture Notes on: The Intrinsic Hodge Theory of p-adic Hyperbolic Curves by Shinichi Mochizuki I. General Introduction Add to Reading List Source URL: www.kurims.kyoto-u.ac.jp Language: English - Date: 2011-11-07 07:26:20 Algebraic number theory Galois theory Algebraic geometry Hodge theory Homological algebra Tate conjecture Galois module tale cohomology P-adic Hodge theory Tate module Abelian variety Algebraic curve
73	Vulnerable Galois RLWE Families and Improved Attacks Hao Chen, Kristin E. Lauter, Katherine E. Stange 1. Introduction Lattice-based cryptography was introduced in the mid 1990s in two different forms, independently by Aj Add to Reading List Source URL: math.colorado.edu Language: English - Date: 2016-02-24 10:14:48 Algebraic number theory Finite fields Ring Learning with Errors Galois theory Field theory Algebraic number field Distribution Frobenius endomorphism XTR Ring learning with errors key exchange
74	301 Documenta Math. Additive Structure of Multiplicative Subgroups of Fields and Galois Theory Add to Reading List Source URL: www.math.uiuc.edu Language: English - Date: 2004-09-15 11:23:51 Group theory Field theory XTR Field Subgroup Frattini subgroup Quotient group Galois theory Fundamental theorem of Galois theory Semilinear map
75	873 Documenta Math. On Reductions of Families of Crystalline Galois Representations Add to Reading List Source URL: documenta.sagemath.org Language: English - Date: 2010-12-10 12:03:12 Algebraic number theory Galois theory Galois module Restricted representation Representation theory Frobenius endomorphism
76	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
77	RAMIFICATION OF CRYSTALLINE REPRESENTATIONS SHIN HATTORI Abstract. This is a survey on integral p-adic Hodge theory, especially on the Fontaine-Laﬀaille theory, and a ramiﬁcation bound for crystalline representations Add to Reading List Source URL: www2.math.kyushu-u.ac.jp Language: English - Date: 2014-09-17 00:51:56 Homological algebra Algebraic number theory Algebraic geometry Commutative algebra Galois theory P-adic Hodge theory Crystalline cohomology Galois module Valuation P-adic number Torsion Tate module
78	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
79	SERRE’S CONJECTURE OVER IMAGINARY QUADRATIC FIELDS By Mehmet Haluk S ¸ eng¨ Add to Reading List Source URL: www.math.uni-bonn.de Language: English - Date: 2009-01-20 05:56:15 Algebraic number theory Conjectures Galois theory Modular forms Analytic number theory Galois module Jean-Pierre Serre Hecke operator Automorphic form Algebraic number field variste Galois RamanujanPetersson conjecture
80	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

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