ON THE FOUNDATION OF NONCOMMUTATIVE GEOMETRY ISRAEL GELFAND is one of the handful of mathematicians who really shaped the mathematics of the twentieth century. Even among them he does stand out by the fecundity of the c

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• Ring theory
• Noncommutative geometry
• Quantum gravity
• Operator theory
• Cyclic homology
• Noncommutative topology
• C*-algebra
• Cohomology
• Von Neumann algebra
• Abstract algebra
• Algebra
• Homological algebra

Microsoft Word - Gelfand Seminar.doc

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Gelfand on mathematics and neurophysiology Yuri I. Arshavsky BioCircuits Institute, University of California San Diego, La Jolla, CA[removed]It is well known that Gelfand’s scientific interests were not limited to

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• Biology
• Cognitive science
• Nervous system
• Gelfand
• Neuroscience
• Brain
• Connectionism
• Neuron
• Neurophysiology
• Science
• Mind
• Computational neuroscience

The Gelfand-Naimark Theorem Christopher Mulvey University of Sussex / University of Cambridge www.maths.sussex.ac.uk/Staff/CJM

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• Functional analysis
• Gelfand–Naimark theorem
• C*-algebra
• Spectrum of a ring
• Gelfand
• Differentiable manifold
• Compact space
• Gelfand representation
• Equivalence of categories
• Mathematical analysis
• Topology
• Abstract algebra

ISSN[removed], Russian Journal of Developmental Biology, 2008, Vol. 38, No. 6, pp. 379–380. © Pleiades Publishing, Inc., 2008. Original Russian Text © V.P. Skulachev, 2008, published in Ontogenez, 2008, Vol. 38, No.

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• Israel Gelfand
• Andrey Kolmogorov
• Gelfand
• Mathematical analysis
• Mathematics
• Science

Proc. Indian Acad. Sci. (Math. Sci.) Vol. 116, No. 4, November 2006, pp. 423–428. © Printed in India Remarks on B(H ) ⊗ B(H ) GILLES PISIER Department of Mathematics, Texas A&M University, College Station, TX 77843-

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• Mathematics
• Von Neumann algebra
• Gelfand–Naimark–Segal construction
• Operator
• Approximately finite dimensional C*-algebra
• C*-algebra
• Mathematical analysis
• Operator theory
• Functional analysis

STABILITY AND ENDOSCOPY: INFORMAL MOTIVATION James Arthur University of Toronto The purpose of this note is described in the title. It is an elementary introduction

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• Automorphic forms
• Arthur–Selberg trace formula
• Fundamental lemma
• Representation theory
• Character theory
• Tempered representation
• Shimura variety
• Gelfand pair
• Representation theory of finite groups
• Abstract algebra
• Algebra
• Group theory

Induced Representations, Intertwining Operators and Transfer James Arthur This paper is dedicated to George Mackey. Abstract. Induced representations and intertwining operators give rise to distributions that represent c

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• Group theory
• Induced representation
• Symbol
• Representation theory
• Orthogonal group
• Gelfand pair
• Arthur–Selberg trace formula
• Abstract algebra
• Algebra
• Mathematics

~ ~ - c o h o m oand l o automorphic ~~ representations James Arthur The University of Toronto

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• Homological algebra
• Representation theory
• Discrete series representation
• Hecke operator
• Cohomology
• Symmetric space
• Langlands classification
• Hodge structure
• Gelfand pair
• Abstract algebra
• Algebra
• Representation theory of Lie groups

The Endoscopic Classification of Representations James Arthur We shall outline a classification [A] of the automorphic representations of special orthogonal and symplectic groups in terms of those of general linear group

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• Representation theory of Lie groups
• Automorphic forms
• Langlands program
• Class field theory
• Conjectures
• Local Langlands conjectures
• Representation theory
• Orthogonal group
• Gelfand pair
• Abstract algebra
• Mathematics
• Algebra