Selberg

Results: 103



#Item
41Ilya Piatetski-Shapiro / Automorphic forms / Number theorists / Modular forms / Hervé Jacquet / Rankin–Selberg method / Mathematics / Mathematical analysis / Abstract algebra

ON THE LIFE AND WORK OF ILYA PIATETSKI-SHAPIRO ∗ Ilya Piatetski-Shapiro, an extraordinary scientist-refusenik from the Soviet Union, died on February 22, 2009 in Tel-Aviv, after a long debilitating illness.

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Source URL: www.kdnuggets.com

Language: English - Date: 2013-12-24 09:07:35
42Automorphic 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

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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Source URL: www2.maths.ox.ac.uk

Language: English - Date: 2013-12-01 07:09:05
43Group theory / Langlands program / Arthur–Selberg trace formula / Fundamental lemma / Endoscopic group / Representation theory / Sheaf / Representation theory of Lie groups / Abstract algebra / Automorphic forms / Algebra

A STABLE TRACE FORMULA I. GENERAL EXPANSIONS James Arthur* Contents Introduction §1

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Source URL: www2.maths.ox.ac.uk

Language: English - Date: 2013-12-01 07:09:07
44Representation theory / Differential topology / Littelmann path model / Symbol / Abstract algebra / Automorphic forms / Arthur–Selberg trace formula

Canonical normalization of weighted characters and a transfer conjecture James Arthur* §1.

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Source URL: www2.maths.ox.ac.uk

Language: English - Date: 2013-12-01 07:09:03
45Automorphic forms / Arthur–Selberg trace formula / Algebraic number field / Fundamental lemma / Sheaf / Theorem / Abstract algebra / Mathematics / Algebra

A STABLE TRACE FORMULA III. PROOF OF THE MAIN THEOREMS James Arthur* Contents Introduction §1

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Source URL: www2.maths.ox.ac.uk

Language: English - Date: 2013-12-01 07:09:09
46Group theory / Induced representation / Symbol / Representation theory / Orthogonal group / Gelfand pair / Arthur–Selberg trace formula / Abstract algebra / Algebra / Mathematics

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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Source URL: www2.maths.ox.ac.uk

Language: English - Date: 2013-12-01 07:09:09
47Automorphic forms / Group theory / Differential geometry / Functional analysis / Fourier analysis / Selberg trace formula / Group action / Symmetric space / Trace / Abstract algebra / Algebra / Mathematical analysis

Proceedings of the International Congress

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Source URL: www2.maths.ox.ac.uk

Language: English - Date: 2013-12-01 07:08:58
48Automorphic forms / Arthur–Selberg trace formula / Fundamental lemma / Distribution / Function / Orbifold / Mathematics / Mathematical analysis / Abstract algebra

ON THE TRANSFER OF DISTRIBUTIONS: WEIGHTED ORBITAL INTEGRALS James Arthur* Contents Introduction

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Source URL: www2.maths.ox.ac.uk

Language: English - Date: 2013-12-01 07:09:11
49Operator theory / Topological groups / Algebraic number field / Algebraic number theory / Field theory / Normal subgroup / Group action / Induced representation / Plancherel theorem for spherical functions / Abstract algebra / Algebra / Group theory

The Selberg trace formula for groups of F-rank one Introduction An important tool for the study of automorphic forms is a nonabelian analogue of the Poisson summation formula, generally known as

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Source URL: www2.maths.ox.ac.uk

Language: English - Date: 2013-12-01 07:09:07
50Algebra / Algebraic groups / Fundamental lemma / Langlands program / Arthur–Selberg trace formula / Abstract algebra / Automorphic forms / Group theory

A STABLE TRACE FORMULA II. GLOBAL DESCENT James Arthur* Contents Introduction §1

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Source URL: www2.maths.ox.ac.uk

Language: English - Date: 2013-12-01 07:09:12
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