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
.
Most widely held works by
Gérard Laumon
Vector bundles on curvesnew directions : lectures given at the 3rd session of the Centro internazionale matematico estivo
(C.I.M.E.) held in Cetraro (Cosenza), Italy, June 1927, 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
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 numbertheoretic 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 selfcontained. It is the first book on this subject and will be of much interest to all researchers in algebraic number theory and representation theory
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 numbertheoretic 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 selfcontained. 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 schemetheoretic notions to stacks, Artin's representability theorems, but also new topics such as the "lisseétale" topology
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 schemetheoretic notions to stacks, Artin's representability theorems, but also new topics such as the "lisseétale" 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
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 topnotch contributors match the breadth of Grothendieck's own interests, including: functional analysis, algebraic geometry, algebraic topology, number theory, representation theory, Ktheory, category theory, and homological algebra. CONTRIBUTORS to Volume II: P. Cartier; C. ContouCarrère; 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
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 topnotch contributors match the breadth of Grothendieck's own interests, including: functional analysis, algebraic geometry, algebraic topology, number theory, representation theory, Ktheory, category theory, and homological algebra. CONTRIBUTORS to Volume II: P. Cartier; C. ContouCarrère; 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, GrothendieckLefschetz trace formula, ArthurSelberg trace formula, Shimura varieties, Higgs fibre bundles and Hitchin fibration ..."
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, GrothendieckLefschetz trace formula, ArthurSelberg 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 numbertheoretic 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 RamanujanPetersson 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 selfcontained. This book will be of much interest to all researchers in algebraic number theory and representation theory
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 numbertheoretic 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 RamanujanPetersson 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 selfcontained. 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
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
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
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
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
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
JeanBenoît 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, GrothendieckLefschetz trace formula, ArthurSelberg trace formula, Shimura varieties, Higgs fibre bundles and Hitchin fibration, ..."
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, GrothendieckLefschetz trace formula, ArthurSelberg 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
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
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 topnotch contributors match the breadth of Grothendieck's own interests, including: functional analysis, algebraic geometry, algebraic topology, number theory, representation theory, Ktheory, 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
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 topnotch contributors match the breadth of Grothendieck's own interests, including: functional analysis, algebraic geometry, algebraic topology, number theory, representation theory, Ktheory, 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
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
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
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 threevolume 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 topnotch contributors match the breadth of Grothendieck's own interests, including: functional analysis, algebraic geometry, algebraic topology, number theory, representation theory, Ktheory, category theo
2 editions published in 2007 in English and held by 6 WorldCat member libraries worldwide
This threevolume 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 topnotch contributors match the breadth of Grothendieck's own interests, including: functional analysis, algebraic geometry, algebraic topology, number theory, representation theory, Ktheory, category theo
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Audience Level
0 

1  
Kids  General  Special 
Related Identities
 Kumar, S. (Shrawan) 1953 Other Author
 Narasimhan, M. S. Other Editor
 Stuhler, U. (Ulrich) Other
 Centro internazionale matematico estivo Other
 MoretBailly, Laurent
 Katz, Nicholas M. 1943 Other Author Editor
 Illusie, Luc Other Author of introduction Editor
 Ribet, Kenneth A. Other Editor
 Cartier, Pierre Author Editor
 Manin, I︠U︡. I. Editor
Useful Links
Associated Subjects
Algebra Algebra, Homological Algebraic fields Algebraic topology Automorphic forms Categories (Mathematics) Drinfeld modular varieties Drinfeld modules Exponential functions Functional analysis Geometry, Algebraic Grothendieck, A.(Alexandre) Homology theory Ktheory Langlands, Robert P., Lfunctions Mathematics Number theory Trace formulas Vector bundles
Covers
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