WorldCat Identities

Laumon, Gérard

Overview
Works: 68 works in 254 publications in 6 languages and 2,004 library holdings
Genres: Conference papers and proceedings 
Roles: Author, Editor, Honoree, Thesis advisor, htt, Other, Opponent, Redactor
Classifications: QA564, 516.35
Publication Timeline
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Most widely held works by Gérard Laumon
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 )

18 editions published between 1996 and 2006 in English and held by 534 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 )

15 editions published between 1996 and 2009 in English and Spanish and held by 263 WorldCat member libraries worldwide

Cohomology of Drinfeld Modular Varieties aims to provide an introduction, in two volumes, both 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. The present volume is devoted to the geometry of these varieties, and to the local harmonic analysis needed to compute their cohomology. It is based on graduate courses taught by the author, who uses techniques which 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. It is the first book on this subject and will be of much interest to all researchers in algebraic number theory and representation theory
Champs algébriques by Gérard Laumon( Book )

4 editions published in 2000 in French and English and held by 232 WorldCat member libraries worldwide

The theory of algebraic stacks emerged in the late sixties and early seventies in the works of P. Deligne, D. Mumford, and M. Artin. The language of algebraic stacks has been used repeatedly since then, mostly in connection with moduli problems: the increasing demand for an accurate description of moduli "spaces" came from various areas of mathematics and mathematical physics. Unfortunately the basic results on algebraic stacks were scattered in the literature and sometimes stated without proofs. The aim of this book is to fill this reference gap by providing mathematicians with the first systematic account of the general theory of (quasiseparated) algebraic stacks over an arbitrary base scheme. It covers the basic definitions and constructions, techniques for extending scheme-theoretic notions to stacks, Artin's representability theorems, but also new topics such as the "lisse-étale" topology
Sommes exponentielles : cours à Orsay, automne, 1979 by Nicholas M Katz( Book )

14 editions published between 1979 and 1981 in French and Undetermined and held by 150 WorldCat member libraries worldwide

The Grothendieck Festschrift : a collection of articles written in honor of the 60th birthday of Alexander Grothendieck by P Cartier( )

39 editions published between 1990 and 2009 in 3 languages and held by 110 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 II: P. Cartier; C. Contou-Carrère; P. Deligne; T. Ekedahl; G. Faltings; J.-M. Fontaine; H. Hamm; Y. Ihara; L. Illusie; M. Kashiwara; V.A. Kolyvagin; R. Langlands; Lé D.T.; D. Shelstad; and A. Voros
De la géométrie algébrique aux formes automorphes : une collection d'articles en l'honneur du soixantième anniversaire de Gérard Laumon( Book )

10 editions published in 2015 in English and French and held by 106 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 ..."
Cohomology of Drinfeld modular varieties by Gérard Laumon( Book )

27 editions published between 1997 and 2009 in English and held by 86 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
Cohomology of Drinfeld modular varieties by Gérard Laumon( )

13 editions published between 1995 and 1997 in English and held by 80 WorldCat member libraries worldwide

Champs algébriques by Gérard Laumon( Book )

6 editions published in 2000 in French and held by 65 WorldCat member libraries worldwide

Cohomology of Drinfeld modular varieties by Gérard Laumon( Book )

12 editions published between 1995 and 2010 in English and Italian and held by 58 WorldCat member libraries worldwide

Champs algébriques by Gérard Laumon( Book )

1 edition published in 2000 in French and held by 53 WorldCat member libraries worldwide

Champs algebriques by Gérard Laumon( Book )

9 editions published between 1988 and 2000 in 3 languages and held by 28 WorldCat member libraries worldwide

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

6 editions published in 2015 in 3 languages and held by 25 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( Book )

5 editions published in 1990 in English and held by 20 WorldCat member libraries worldwide

The Grothendieck Festschrift Volume I by P Cartier( )

1 edition published in 1990 in English and held by 16 WorldCat member libraries worldwide

The Grothendieck Festschrift : a Collection of Articles Written in Honor of the 60th Birthday of Alexander Grothendieck by P Cartier( )

2 editions published in 2007 in English and held by 15 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
The Grothendieck Festschrift : a collection of articles written in honor of the 60th birthday of Alexander Grothendieck( Book )

1 edition published in 1990 in English and held by 15 WorldCat member libraries worldwide

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

1 edition published in 1996 in English and held by 12 WorldCat member libraries worldwide

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

1 edition published in 1997 in English and held by 11 WorldCat member libraries worldwide

Part 2
The Grothendieck Festschrift by Pierre Cartierluc Illusie( )

2 editions published in 2007 in English and held by 6 WorldCat member libraries worldwide

This three-volume work contains articles collected on the occasion of Alexander Grothendieck's sixtieth birthday and originally published in 1990. The articles were offered as a tribute to one of the world's greatest living 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 theo
 
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WorldCat IdentitiesRelated Identities
Champs algébriques Champs algébriques Champs algébriques Champs algebriques
Covers
Cohomology of Drinfeld modular varietiesChamps algébriquesThe Grothendieck Festschrift : a collection of articles written in honor of the 60th birthday of Alexander GrothendieckCohomology of Drinfeld modular varietiesCohomology of Drinfeld modular varietiesChamps algébriquesCohomology of Drinfeld modular varietiesChamps algébriques
Alternative Names
Gérard Laumon Francouzský matematik zabývající se zejména teorií čísel. Vysokoškolský pedagog. Publikace z oboru.

Gérard Laumon Frans wiskundige

Gérard Laumon fransk matematikar

Gérard Laumon fransk matematiker

Gérard Laumon französischer Mathematiker

Gérard Laumon French mathematician

Gérard Laumon matemàtic francès

Gérard Laumon matematician francez

Gérard Laumon matemático francês

Gérard Laumon matematico francese

Gérard Laumon matemáticu francés

Gerard Laumon matematikan francez

Gérard Laumon mathématicien français

Laumon, G.

Laumon, G., 1952-

Laumon, G. (Gérard)

Жерар Ломон французский математик

ז'ראר לומון מתמטיקאי צרפתי

جيرارد لاومون

제라르 로몽 프랑스 수학자

ジェラール・ローモン

热拉尔·洛蒙

Languages