Heidelberg University · 2013-09-26 · GALOIS COHOMOLOGY LAWRENCE C. WASHINGTON In these lectures,...

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Transcript of Heidelberg University · 2013-09-26 · GALOIS COHOMOLOGY LAWRENCE C. WASHINGTON In these lectures,...

Page 1: Heidelberg University · 2013-09-26 · GALOIS COHOMOLOGY LAWRENCE C. WASHINGTON In these lectures, we give a very utilitarian description of the Galois ... general, H2(GK, RX) is
Page 2: Heidelberg University · 2013-09-26 · GALOIS COHOMOLOGY LAWRENCE C. WASHINGTON In these lectures, we give a very utilitarian description of the Galois ... general, H2(GK, RX) is
Page 3: Heidelberg University · 2013-09-26 · GALOIS COHOMOLOGY LAWRENCE C. WASHINGTON In these lectures, we give a very utilitarian description of the Galois ... general, H2(GK, RX) is
Page 4: Heidelberg University · 2013-09-26 · GALOIS COHOMOLOGY LAWRENCE C. WASHINGTON In these lectures, we give a very utilitarian description of the Galois ... general, H2(GK, RX) is
Page 5: Heidelberg University · 2013-09-26 · GALOIS COHOMOLOGY LAWRENCE C. WASHINGTON In these lectures, we give a very utilitarian description of the Galois ... general, H2(GK, RX) is
Page 6: Heidelberg University · 2013-09-26 · GALOIS COHOMOLOGY LAWRENCE C. WASHINGTON In these lectures, we give a very utilitarian description of the Galois ... general, H2(GK, RX) is
Page 7: Heidelberg University · 2013-09-26 · GALOIS COHOMOLOGY LAWRENCE C. WASHINGTON In these lectures, we give a very utilitarian description of the Galois ... general, H2(GK, RX) is
Page 8: Heidelberg University · 2013-09-26 · GALOIS COHOMOLOGY LAWRENCE C. WASHINGTON In these lectures, we give a very utilitarian description of the Galois ... general, H2(GK, RX) is
Page 9: Heidelberg University · 2013-09-26 · GALOIS COHOMOLOGY LAWRENCE C. WASHINGTON In these lectures, we give a very utilitarian description of the Galois ... general, H2(GK, RX) is
Page 10: Heidelberg University · 2013-09-26 · GALOIS COHOMOLOGY LAWRENCE C. WASHINGTON In these lectures, we give a very utilitarian description of the Galois ... general, H2(GK, RX) is
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On the Galois and flat cohomology of unipotent algebraic ...closure in an algebraic closure k¯ of k, Γ:=Gal(ks/k)denotes the Galois group of ks over k, and for a linear algebraic

On the Galois and flat cohomology of unipotent algebraic ...closure in an algebraic closure k¯ of k, Γ:=Gal(ks/k)denotes the Galois group of ks over k, and for a linear algebraic

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MONADIC APPROACH TO GALOIS DESCENT AND COHOMOLOGY

MONADIC APPROACH TO GALOIS DESCENT AND COHOMOLOGY

On The Structure of Certain Galois Cohomology Groups · Structure of Certain Galois Cohomology Groups 337 gives the action of Gal(KΣ/K) on Tφ/mTφ∼= T /mT or, alternatively, on

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CENTRAL SIMPLE ALGEBRAS AND GALOIS COHOMOLOGYmarin/une_autre_crypto/... · 2010-03-30 · the basic theory of central simple algebras, methods of Galois descent and Galois cohomology,

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Computing Galois cohomology and forms of linear algebraic ... · are classifled via the Galois cohomology. Inthepresent chapter, we introduce the flrst cohomology of nonabelian

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 · Contents Introduction vii Chapter I. Galois cohomology of p-adic representations 1 1. p-adic representations 1 2. Galois cohomology 2 3. Local cohomology groups 4 4. Local duality

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TRANSFER IN GALOIS COHOMOLOGY COMMUTES WITHTransfer in Galois cohomology and in the Milnor ring 101 6: F’/(F’)2-H1(G), where F’ is the multiplicative group of units in the field

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COHOMOLOGY AND GALOIS THEORY. I. NORMALITY OF ALGEBRAS AND TEICHMÜLLER'S COCYCLE · 2018-11-16 · COHOMOLOGY AND GALOIS THEORY. I. NORMALITY OF ALGEBRAS AND TEICHMÜLLER'S COCYCLE

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AN INTRODUCTION TO GALOIS COHOMOLOGY AND ITS ...AN INTRODUCTION TO GALOIS COHOMOLOGY 3 Conversely, if the equality above holds then P= C 1Qis an element of G(R) satisfying PMP 1 =

AN INTRODUCTION TO GALOIS COHOMOLOGY AND ITS ...AN INTRODUCTION TO GALOIS COHOMOLOGY 3 Conversely, if the equality above holds then P= C 1Qis an element of G(R) satisfying PMP 1 =

THE UNRAMIFIED INVERSE GALOIS PROBLEM AND COHOMOLOGY …1206159/FULLTEXT01.pdf · AND COHOMOLOGY RINGS OF TOTALLY IMAGINARY NUMBER FIELDS MAGNUS CARLSON AND TOMER SCHLANK Abstract.

THE UNRAMIFIED INVERSE GALOIS PROBLEM AND COHOMOLOGY …1206159/FULLTEXT01.pdf · AND COHOMOLOGY RINGS OF TOTALLY IMAGINARY NUMBER FIELDS MAGNUS CARLSON AND TOMER SCHLANK Abstract.

On the ^-adic cohomology of varieties over number fields · On the ^-adic cohomology of varieties over number fields and its Galois cohomology UVVE JANNSEN If X is a smooth, projective

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Galois Cohomology, Spectral Sequences, and Class Field Theory

Galois Cohomology, Spectral Sequences, and Class Field Theory

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ON THE GALOIS STRUCTURE OF ARITHMETIC COHOMOLOGY II… · ON THE GALOIS STRUCTURE OF ARITHMETIC COHOMOLOGY II: RAY CLASS GROUPS DAVID BURNS AND ASUKA KUMON Abstract. We investigate

ON THE GALOIS STRUCTURE OF ARITHMETIC COHOMOLOGY II… · ON THE GALOIS STRUCTURE OF ARITHMETIC COHOMOLOGY II: RAY CLASS GROUPS DAVID BURNS AND ASUKA KUMON Abstract. We investigate

Field Theory and the Cohomology of Some Galois Groups · FIELD THEORY AND GALOIS GROUPS 611 THEOREM Ž.5.2, 5.3, 5.15 . Let F be a field of which is not formally real, and assume

Field Theory and the Cohomology of Some Galois Groups · FIELD THEORY AND GALOIS GROUPS 611 THEOREM Ž.5.2, 5.3, 5.15 . Let F be a field of which is not formally real, and assume

COHOMOLOGY OF CLASS GROUPS OF CYCLOTOMIC FIELDS; …In this section we will study the Galois cohomology of the class groups of abelian number fields. We will investigate in which cases

COHOMOLOGY OF CLASS GROUPS OF CYCLOTOMIC FIELDS; …In this section we will study the Galois cohomology of the class groups of abelian number fields. We will investigate in which cases

GALOIS REPRESENTATIONS MODULO COHOMOLOGY OF HILBERT MODULAR VARIETIESmath.univ-lille1.fr/~mladen/articles/hmv-coh.pdf · 2012-05-01 · Ann. Scient. Éc. Norm. Sup., 4e série, t.

GALOIS REPRESENTATIONS MODULO COHOMOLOGY OF HILBERT MODULAR VARIETIESmath.univ-lille1.fr/~mladen/articles/hmv-coh.pdf · 2012-05-01 · Ann. Scient. Éc. Norm. Sup., 4e série, t.