WorldCat Identities

Laumon, Gérard

Overview
Works: 40 works in 194 publications in 3 languages and 1,699 library holdings
Genres: Conference papers and proceedings 
Roles: Author, Editor, Honoree, Other
Classifications: QA564, 516.35
Publication Timeline
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Most widely held works by Gérard Laumon
Champs algébriques by Gérard Laumon( Book )

20 editions published between 1988 and 2000 in 3 languages and held by 343 WorldCat member libraries worldwide

Vector bundles on curves--new directions : lectures given at the 3rd session of the Centro internazionale matematico estivo (C.I.M.E.) held in Cetraro (Cosenza), Italy, June 19-27, 1995 by S Kumar( Book )

17 editions published between 1996 and 1997 in English and held by 324 WorldCat member libraries worldwide

The book gives a survey of some recent developments in the theory of bundles on curves arising out of the work of Drinfeld and from insights coming from Theoretical Physics. It deals with: 1. The relation between conformal blocks and generalised theta functions (Lectures by S. Kumar) 2. Drinfeld Shtukas (Lectures by G. Laumon) 3. Drinfeld modules and Elliptic Sheaves (Lectures by U. Stuhler) The latter topics are useful in connection with Langlands programme for function fields. The contents of the book would give a comprehensive introduction of these topics to graduate students and researchers
Cohomology of Drinfeld modular varieties by Gérard Laumon( Book )

27 editions published between 1996 and 2010 in English and Italian and held by 296 WorldCat member libraries worldwide

Sommes exponentielles : cours à Orsay, automne, 1979 by Nicholas M Katz( Book )

13 editions published between 1979 and 1981 in French and Undetermined and held by 143 WorldCat member libraries worldwide

De la géométrie algébrique aux formes automorphes : une collection d'articles en l'honneur du soixantième anniversaire de Gérard Laumon( Book )

5 editions published in 2015 in English and French and held by 91 WorldCat member libraries worldwide

" ... The range of subjects covered reflects the diversity and richness of the works and interests of Gérard Laumon: étale cohomology of schemes and stacks, -adic sheaves and Fourier transform, character sheaves, classic and geometric Langlands correspondence, Grothendieck-Lefschetz trace formula, Arthur-Selberg trace formula, Shimura varieties, Higgs fibre bundles and Hitchin fibration ..."
The Grothendieck Festschrift : a collection of articles written in honor of the 60th birthday of Alexander Grothendieck by P Cartier( Book )

28 editions published between 1990 and 2007 in English and French and held by 68 WorldCat member libraries worldwide

The many diverse articles presented in these three volumes, collected on the occasion of Alexander Grothendieck's sixtieth birthday and originally published in 1990, were offered as a tribute to one of the world's greatest living mathematicians. Grothendieck changed the very way we think about many branches of mathematics. Many of his ideas, revolutionary when introduced, now seem so natural as to have been inevitable. Indeed, it is difficult to fully grasp the influence his vast contributions to modern mathematics have subsequently had on new generations of mathematicians. Many of the groundbreaking contributions in these volumes contain material that is now considered foundational to the subject. Topics addressed by these top-notch contributors match the breadth of Grothendieck's own interests, including: functional analysis, algebraic geometry, algebraic topology, number theory, representation theory, K-theory, category theory, and homological algebra. CONTRIBUTORS to Volume I: A. Altman; M. Artin; V. Balaji; A. Beauville; A.A. Beilinson; P. Berthelot; J.-M. Bismut; S. Bloch; L. Breen; J.-L. Brylinski; J. Dieudonné; H. Gillet; A.B. Goncharov; K. Kato; S. Kleiman; W. Messing; V.V. Schechtman; C.S. Seshadri; C. Soulé; J. Tate; M. van den Bergh; and A.N. Varchenko
Cohomology of Drinfeld modular varieties by Gérard Laumon( Book )

27 editions published between 1995 and 2009 in English and held by 59 WorldCat member libraries worldwide

Cohomology of Drinfeld Modular Varieties aims to provide an introduction to this subject and to the Langlands correspondence for function fields. These varieties are the analogues for function fields of the Shimura varieties over number fields. The Langlands correspondence is a conjectured link between automorphic forms and Galois representations over a global field. By analogy with the number-theoretic case, one expects to establish the conjecture for function fields by studying the cohomology of Drinfeld modular varieties, which has been done by Drinfeld himself for the rank two case. This second volume is concerned with the ArthurSHSelberg trace formula, and to the proof in some cases of the Ramanujan-Petersson conjecture and the global Langlands conjecture for function fields. The author uses techniques that are extensions of those used to study Shimura varieties. Though the author considers only the simpler case of function rather than number fields, many important features of the number field case can be illustrated. Several appendices on background material keep the work reasonably self-contained. This book will be of much interest to all researchers in algebraic number theory and representation theory
Caracteristiques d'euler-poincare et sommes exponentielles by Gérard Laumon( Book )

5 editions published in 1983 in French and Undetermined and held by 17 WorldCat member libraries worldwide

The articles comprising this thesis are devoted to the study of certain aspects of the ramification of constructible sheaves on algebraic varieties, in relation with calculations of EulerPoincaré characteristics and with estimates of trigonometric sums. We work in some instances with l-adic sheaves in characteristic p ≥ 0 and in others with [...]-Modules in characteristic 0
De la géométrie algébrique aux formes automorphes. une collection d'articles en l'honneur du soixantième anniversaire de Gérard Laumon( Book )

5 editions published in 2015 in English and French and held by 15 WorldCat member libraries worldwide

Geometry, counting of points and local harmonic analysis by Gérard Laumon( Book )

2 editions published in 1996 in English and held by 12 WorldCat member libraries worldwide

Automorphic forms, trace formulas and Langlands correspondence by Gérard Laumon( Book )

3 editions published in 1997 in English and held by 11 WorldCat member libraries worldwide

Part 2
Spherical isotropy representations. Non-commutative differential geometry / by A. Connes [u.a.] by Ted Petrie( Book )

4 editions published between 1985 and 1986 in English and French and held by 8 WorldCat member libraries worldwide

Cohomology with compact supports of drinfeld modular varieties : part I by Gérard Laumon( Book )

2 editions published between 1991 and 1992 in English and held by 7 WorldCat member libraries worldwide

Pointwise ergodic theorems for arithmetic sets : with an appendix on return-time sequences by Jean Bourgain( Book )

1 edition published in 1989 in English and held by 5 WorldCat member libraries worldwide

Gluing of perverse sheaves and discrete series representations by D Kazhdan( Book )

2 editions published in 1989 in English and held by 4 WorldCat member libraries worldwide

Un analogue global du cône nilpotent by Gérard Laumon( Book )

2 editions published in 1987 in French and held by 4 WorldCat member libraries worldwide

Transformation de fourier et majoration de sommes exponentielles by Nicholas M Katz( Book )

3 editions published between 1983 and 1986 in French and held by 4 WorldCat member libraries worldwide

Le lemme fondamental de Jacquet et Ye en égales caractéristiques by Báo Châu Ngô( Book )

1 edition published in 1997 in French and held by 3 WorldCat member libraries worldwide

JACQUET ET YE ONT CONJECTURE UNE FAMILLE D'IDENTITES ENTRE INTEGRALES DE TYPE DE KLOOSTERMAN POUR LE GROUPE GL(N) SUR UN CORPS LOCAL NON ARCHIMEDIEN. DANS LE CONTEXTE DE LA FORMULE DES TRACES RELATIVES DE JACQUET, CES IDENTITES JOUENT LE ROLE D'UN <<<>LEMME FONDAMENTAL<>>>. NOUS DEMONTRONS CETTE CONJECTURE DANS LE CAS OU LE CORPS LOCAL EST DE CARACTERISTIQUE POSITIVE. LE POINT CLE DE CETTE PREUVE CONSISTE A CONSTRUIRE UNE DEFORMATION D'UNE SOMME DE KLOOSTERMAN POUR GL(N) EN DES PRODUITS DE SOMMES DE KLOOSTERMAN CLASSIQUES. L'IDENTITE A DEMONTRER APPARAIT ALORS COMME UNE LIMITE DES IDENTITES CONNUES ENTRE SOMMES DE KLOOSTERMAN CLASSIQUES. CE PASSAGE A LA LIMITE SE FORMULE DE MANIERE ADEQUATE A L'AIDE DE L'INTERPRETATION COHOMOLOGIQUE DES SOMMES EXPONENTIELLES ET DE LA THEORIE DES FAISCEAUX PERVERS <SCRIPT SMALL 1>-ADIQUES. LA TRANSFORMATION DE FOURIER-DELIGNE INTERVIENT AUSSI DE MANIERE CRUCIALE DANS LA DEMONSTRATION
Transformation de Fourier, constantes d'equations fonctionnelles et conjecture de Weil by Gérard Laumon( Book )

2 editions published in 1986 in French and held by 3 WorldCat member libraries worldwide

 
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Audience level: 0.74 (from 0.61 for The Grothe ... to 0.95 for Vector bun ...)

Champs algébriques
Alternative Names
Gérard Laumon Frans wiskundige

Gérard Laumon fransk matematikar

Gérard Laumon fransk matematiker

Gérard Laumon französischer Mathematiker

Gérard Laumon French mathematician

Gérard Laumon matematician francez

Laumon, G.

Laumon, G. (Gérard)

Жерар Ломон французский математик

ジェラール・ローモン

热拉尔·洛蒙

Languages
English (120)

French (47)

Italian (1)

Covers
Vector bundles on curves--new directions : lectures given at the 3rd session of the Centro internazionale matematico estivo (C.I.M.E.) held in Cetraro (Cosenza), Italy, June 19-27, 1995Cohomology of Drinfeld modular varietiesThe Grothendieck Festschrift : a collection of articles written in honor of the 60th birthday of Alexander GrothendieckCohomology of Drinfeld modular varietiesGeometry, counting of points and local harmonic analysisAutomorphic forms, trace formulas and Langlands correspondenceVector bundles on curves - new directions : lectures given at the 3rd session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Cetraro (Cosenza), Italy, June 19 - 27, 1995