Fourth COPROMAPH International School Registration Form! Just fill in this form. Check and email it to copromaph secretariat. "Group Theory, Representation and Algebro-geometric aspects of Conformal Field Theory", Octob

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On the Classification of Irreducible Representations of Real Algebraic Groups* R. P. Langlands Introduction. Suppose G is a connected reductive group over a global field F . Many of the problems of the theory of automorp

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GALOIS THEORY AT WORK: CONCRETE EXAMPLES KEITH CONRAD 1. Examples √ √ Example 1.1. The field extension Q( 2, 3)/Q is Galois of degree 4, so its Galois√group

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Global class field theory 1. The id` ele group of a global field Let K be a global field. For every place v of K we write Kv for the completion of K at v and Uv for the group of units of Kv (which is by definition the g

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Math 254B: Number theory H. W. Lenstra, JrEvans, office hours MF 4:15–5:15, tel, e-mail hwl@math). Spring 1993, MWF 1–2, 85 Evans. Exercise 1. Let L be a field and let Aut L be its automorphism group

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Special Theory of Cosmic Axions Gravitational Axions as Dark Matter General Theory of Cosmic QCD Axions Goldstone Bosons in Quantum Gravity Field Gauge Theory Thomas Lee Elifritz The Archimedes Group

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Some Recent Results on Renormalization-Group Flows of Quantum Field Theories Robert Shrock C. N. Yang Institute for Theoretical Physics, Stony Brook University

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• Physics
• Theoretical physics
• Quantum field theory
• Renormalization group
• Mathematical physics
• Particle physics
• Statistical mechanics
• Beta function
• Renormalization
• Closed and exact differential forms
• Quantum chromodynamics

35 Documenta Math. On the Image of l-Adic Galois Representations for Abelian Varieties of Type I and II

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• Algebra
• Abstract algebra
• Mathematics
• Algebraic number theory
• Scheme theory
• Field theory
• Algebraic geometry
• Lie algebra
• Galois module
• Group scheme
• Ring
• Sheaf

A generalisation of Miller’s algorithm and applications to pairing computations on abelian varieties David Lubicz1,2 , Damien Robert3 1

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• Mathematical analysis
• Abstract algebra
• Mathematics
• Elliptic functions
• Riemann surfaces
• Group theory
• Theta function
• Elliptic curve
• Divisor
• Algebraic number field
• ZQ

INVARIANT SETS AND MEASURES OF NONEXPANSIVE GROUP AUTOMORPHISMS ELON LINDENSTRAUSS AND KLAUS SCHMIDT Abstract. We prove that the restriction of a probability measure invariant under a nonhyperbolic, ergodic and totally i

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• Algebra
• Abstract algebra
• Mathematics
• Lie groups
• Lie algebras
• Field theory
• Representation theory
• Harmonic analysis
• Mixing
• Valuation
• Invariant measure
• Ergodic theory