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Reciprocity map in global class field theory

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#number-theory #field-theory #algebraic-number-theory #class-field-theory
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Does the Langlands program preserve CFT's distinction between local and global theories?

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#number-theory #class-field-theory #langlands-program
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Class field theory for function fields and a curious statement

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#algebraic-geometry #galois-theory #algebraic-number-theory #class-field-theory
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How does topology enter Number theory and how we can grasp its essence?

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#analysis #algebraic-geometry #galois-theory #algebraic-number-theory #class-field-theory
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(Simple?) applications of Class Field Theory?

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#number-theory #algebraic-number-theory #class-field-theory
256
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Hecke characters and Unitary groups

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#algebraic-number-theory #algebraic-groups #class-field-theory
449
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CFT via Brauer groups vs via ideles

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2.4k
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How does a Class group measure the failure of Unique factorization?

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#number-theory #algebraic-number-theory #ideals #principal-ideal-domains #class-field-theory
1.1k
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Which number fields can appear as subfields of a finite-dimensional division algebra over Q with center Q?

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#algebraic-number-theory #division-algebras #class-field-theory
152
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Is the group of principal ideles closed in the group of finite ideles?

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#algebraic-number-theory #class-field-theory
382
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What numbers are integrally represented by $4 x^2 + 2 x y + 7 y^2 - z^3$

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#number-theory #quadratic-forms #class-field-theory #complex-multiplication
252
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Complex multiplication - Ray class fields

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#algebraic-number-theory #elliptic-curves #class-field-theory
1.9k
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Galois Group of the Hilbert Class Field

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#algebraic-number-theory #class-field-theory
813
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primes represented integrally by a homogeneous cubic form

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#number-theory #algebraic-number-theory #class-field-theory
642
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Numbers represented by a cubic form

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