Bost, JeanBenoît 1961
Overview
Works:  53 works in 122 publications in 2 languages and 970 library holdings 

Genres:  Conference papers and proceedings Academic theses 
Roles:  Editor, Author, Publishing director, Thesis advisor, htt, Opponent, Other, Interviewee, Collector 
Classifications:  QA241, 512.7 
Publication Timeline
.
Most widely held works by
JeanBenoît Bost
Geometry, analysis and probability : in honor of JeanMichel Bismut by
JeanBenoît Bost(
)
15 editions published between 2017 and 2018 in English and held by 291 WorldCat member libraries worldwide
This volume presents original research articles and extended surveys related to the mathematical interest and work of JeanMichel Bismut. His outstanding contributions to probability theory and global analysis on manifolds have had a profound impact on several branches of mathematics in the areas of control theory, mathematical physics and arithmetic geometry. Contributions by: K. Behrend N. Bergeron S.K. Donaldson J. Dubédat B. Duplantier G. Faltings E. Getzler G. Kings R. Mazzeo J. Millson C. Moeglin W. Müller R. Rhodes D. Rössler S. Sheffield A. Teleman G. Tian KI. Yoshikawa H. Weiss W. Werner The collection is a valuable resource for graduate students and researchers in these fields
15 editions published between 2017 and 2018 in English and held by 291 WorldCat member libraries worldwide
This volume presents original research articles and extended surveys related to the mathematical interest and work of JeanMichel Bismut. His outstanding contributions to probability theory and global analysis on manifolds have had a profound impact on several branches of mathematics in the areas of control theory, mathematical physics and arithmetic geometry. Contributions by: K. Behrend N. Bergeron S.K. Donaldson J. Dubédat B. Duplantier G. Faltings E. Getzler G. Kings R. Mazzeo J. Millson C. Moeglin W. Müller R. Rhodes D. Rössler S. Sheffield A. Teleman G. Tian KI. Yoshikawa H. Weiss W. Werner The collection is a valuable resource for graduate students and researchers in these fields
Courbes semistables et groupe fondamental en géométrie algébrique : Luminy, décembre 1998(
Book
)
13 editions published in 2000 in French and English and held by 208 WorldCat member libraries worldwide
13 editions published in 2000 in French and English and held by 208 WorldCat member libraries worldwide
Theta invariants of Euclidean lattices and infinitedimensional Hermitian vector bundles over arithmetic curves by
JeanBenoît Bost(
)
10 editions published in 2020 in English and held by 183 WorldCat member libraries worldwide
This book presents the most uptodate and sophisticated account of the theory of Euclidean lattices and sequences of Euclidean lattices, in the framework of Arakelov geometry, where Euclidean lattices are considered as vector bundles over arithmetic curves. It contains a complete description of the theta invariants which give rise to a closer parallel with the geometric case. The author then unfolds his theory of infinite Hermitian vector bundles over arithmetic curves and their theta invariants, which provides a conceptual framework to deal with the sequences of lattices occurring in many diophantine constructions. The book contains many interesting original insights and ties to other theories. It is written with extreme care, with a clear and pleasant style, and never sacrifices accessibility to sophistication
10 editions published in 2020 in English and held by 183 WorldCat member libraries worldwide
This book presents the most uptodate and sophisticated account of the theory of Euclidean lattices and sequences of Euclidean lattices, in the framework of Arakelov geometry, where Euclidean lattices are considered as vector bundles over arithmetic curves. It contains a complete description of the theta invariants which give rise to a closer parallel with the geometric case. The author then unfolds his theory of infinite Hermitian vector bundles over arithmetic curves and their theta invariants, which provides a conceptual framework to deal with the sequences of lattices occurring in many diophantine constructions. The book contains many interesting original insights and ties to other theories. It is written with extreme care, with a clear and pleasant style, and never sacrifices accessibility to sophistication
De la géométrie algébrique aux formes automorphes : une collection d'articles en l'honneur du soixantième anniversaire
de Gérard Laumon(
Book
)
13 editions published in 2015 in English and French and held by 131 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 ..."
13 editions published in 2015 in English and French and held by 131 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 ..."
De la géométrie algébrique aux formes automorphes : une collection d'articles en l'honneur du soixantième anniversaire
de Gérard Laumon by
JeanBenoît Bost(
Book
)
9 editions published in 2015 in 3 languages and held by 60 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, ..."
9 editions published in 2015 in 3 languages and held by 60 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, ..."
Séminaire Bourbaki : Volume 2007/2008, Exposés 982996(
Book
)
1 edition published in 2009 in French and held by 11 WorldCat member libraries worldwide
1 edition published in 2009 in French and held by 11 WorldCat member libraries worldwide
Fonctions analytiques d'une variable complexe by
JeanBenoît Bost(
Book
)
8 editions published between 1997 and 2000 in French and held by 10 WorldCat member libraries worldwide
8 editions published between 1997 and 2000 in French and held by 10 WorldCat member libraries worldwide
GEOMETRIE D'ARAKELOV DES GRASSMANNIENNES, DES VARIETES TORIQUES ET DE CERTAINES HYPERSURFACES by
Vincent Maillot(
Book
)
2 editions published in 1997 in French and held by 8 WorldCat member libraries worldwide
CETTE THESE EST CONSACREE PRINCIPALEMENT A L'ETUDE DES HAUTEURS DE CERTAINES VARIETES ARITHMETIQUES. LES QUESTIONS AUXQUELLES ON S'INTERESSE PORTENT SUR LA POSSIBILITE DE CALCULER EFFECTIVEMENT CES HAUTEURS POUR DES METRIQUES SUFFISAMMENT NATURELLES, AINSI QUE SUR L'APPLICATION A CERTAINS PROBLEMES DE GEOMETRIE ET D'ARITHMETIQUE DES RESULTATS OBTENUS ET DES TECHNIQUES DEVELOPPEES. LA PREMIERE PARTIE RASSEMBLE DIVERS CALCULS DE HAUTEURS D'HYPERSURFACES BASES SUR LA METHODE DES REPLIQUES. LA DEUXIEME PARTIE EXPOSE UN ANALOGUE EN GEOMETRIE D'ARAKELOV DU CALCUL DE SCHUBERT ET SON APPLICATION AU CALCUL DE LA HAUTEUR DU PLONGEMENT DE PLUCKER DES GRASSMANNIENNES. ENFIN LA TROISIEME PARTIE TRAITE DES FIBRES EN DROITES INTEGRABLES, (I.E. MUNIS D'UNE METRIQUE HERMITIENNE NONNECESSAIREMENT C#, ET DE LEURS APPLICATIONS A L'ETUDE DES PROPRIETES ARITHMETIQUES ET GEOMETRIQUES DES VARIETES TORIQUES PROJECTIVES LISSES
2 editions published in 1997 in French and held by 8 WorldCat member libraries worldwide
CETTE THESE EST CONSACREE PRINCIPALEMENT A L'ETUDE DES HAUTEURS DE CERTAINES VARIETES ARITHMETIQUES. LES QUESTIONS AUXQUELLES ON S'INTERESSE PORTENT SUR LA POSSIBILITE DE CALCULER EFFECTIVEMENT CES HAUTEURS POUR DES METRIQUES SUFFISAMMENT NATURELLES, AINSI QUE SUR L'APPLICATION A CERTAINS PROBLEMES DE GEOMETRIE ET D'ARITHMETIQUE DES RESULTATS OBTENUS ET DES TECHNIQUES DEVELOPPEES. LA PREMIERE PARTIE RASSEMBLE DIVERS CALCULS DE HAUTEURS D'HYPERSURFACES BASES SUR LA METHODE DES REPLIQUES. LA DEUXIEME PARTIE EXPOSE UN ANALOGUE EN GEOMETRIE D'ARAKELOV DU CALCUL DE SCHUBERT ET SON APPLICATION AU CALCUL DE LA HAUTEUR DU PLONGEMENT DE PLUCKER DES GRASSMANNIENNES. ENFIN LA TROISIEME PARTIE TRAITE DES FIBRES EN DROITES INTEGRABLES, (I.E. MUNIS D'UNE METRIQUE HERMITIENNE NONNECESSAIREMENT C#, ET DE LEURS APPLICATIONS A L'ETUDE DES PROPRIETES ARITHMETIQUES ET GEOMETRIQUES DES VARIETES TORIQUES PROJECTIVES LISSES
From number theory to physics by
Michel Waldschmidt(
Book
)
2 editions published between 1992 and 1995 in English and held by 7 WorldCat member libraries worldwide
Various developments in physics have involved many questions related to number theory, in an increasingly direct way. This trend is especially visible in two broad families of problems, namely, field theories, and dynamical systems and chaos. The 14 chapters of this book are extended, selfcontained versions of expository lecture courses given at a school on "Number Theory and Physics" held at Les Houches for mathematicians and physicists. Most go as far as recent developments in the field. Some adapt an original pedagogical viewpoint
2 editions published between 1992 and 1995 in English and held by 7 WorldCat member libraries worldwide
Various developments in physics have involved many questions related to number theory, in an increasingly direct way. This trend is especially visible in two broad families of problems, namely, field theories, and dynamical systems and chaos. The 14 chapters of this book are extended, selfcontained versions of expository lecture courses given at a school on "Number Theory and Physics" held at Les Houches for mathematicians and physicists. Most go as far as recent developments in the field. Some adapt an original pedagogical viewpoint
On lifting from classical groups to GLn by
James W Cogdell(
Book
)
2 editions published in 2001 in English and held by 6 WorldCat member libraries worldwide
2 editions published in 2001 in English and held by 6 WorldCat member libraries worldwide
Séminaire Bourbaki. avec table par noms d'auteurs de 1948/49 à 2018/19 by
Séminaire Bourbaki(
Book
)
1 edition published in 2020 in French and held by 6 WorldCat member libraries worldwide
Ce 71e volume du Séminaire Bourbaki contient les textes des quinze exposés de survol présentés pendant l'année 2018/2019 : réseaux euclidiens et séries thêta, théorie du pluripotentiel, graphes réguliers aléatoires, espaces et groupes non exacts, conjecture des compagnons, C∗simplicité, géométrie birationnelle des variétés de Fano, réduction stable en dimension supérieure, théorie de Teichmüller supérieure, polynômes HOMFLY et schémas de Hilbert, fonction zêta de Riemann et probabilités, transition de phase en percolation, conjecture de triangulation, homologie des espaces de Hurwitz, hypersurfaces minimales. [source : 4e de couverture]
1 edition published in 2020 in French and held by 6 WorldCat member libraries worldwide
Ce 71e volume du Séminaire Bourbaki contient les textes des quinze exposés de survol présentés pendant l'année 2018/2019 : réseaux euclidiens et séries thêta, théorie du pluripotentiel, graphes réguliers aléatoires, espaces et groupes non exacts, conjecture des compagnons, C∗simplicité, géométrie birationnelle des variétés de Fano, réduction stable en dimension supérieure, théorie de Teichmüller supérieure, polynômes HOMFLY et schémas de Hilbert, fonction zêta de Riemann et probabilités, transition de phase en percolation, conjecture de triangulation, homologie des espaces de Hurwitz, hypersurfaces minimales. [source : 4e de couverture]
Hauteurs pour les sousschémas et exemples d'utilisation de méthodes arakeloviennes en théorie de l'approximation diophantienne by
Hugues Randriambololona(
Book
)
1 edition published in 2002 in French and held by 3 WorldCat member libraries worldwide
In this thesis we define and study some notions in the context of Arakelov geometry that have an intrisic interest and should find applications in diophantine approximation theory. Most of the text is devoted to the elaboration of a theory of heights for subschemes and to the proof of "HilbertSamuel formulae" for these heights. For two important classes of subschemes (integral subschemes and "smooth with multiplicities" subschemes) we show that the height of the subscheme relative to a high power of a positive line bundle is asymptotically determined by the height of the associated cycle. The proof essentially uses the "arithmetic HilbertSamuel theorem" of Gillet and Soulé, and reduces to it using techniques from hermitian analytic geometry. Then we give a finer analysis of the asymptotic expansion of heights of certain particular subschemes. Notably, in the case of relative dimension zero, we express the constant term of the asymptotic expansion by means of the ramification of the subscheme, which solves a question of Michel Laurent concerning heights of interpolation matrices
1 edition published in 2002 in French and held by 3 WorldCat member libraries worldwide
In this thesis we define and study some notions in the context of Arakelov geometry that have an intrisic interest and should find applications in diophantine approximation theory. Most of the text is devoted to the elaboration of a theory of heights for subschemes and to the proof of "HilbertSamuel formulae" for these heights. For two important classes of subschemes (integral subschemes and "smooth with multiplicities" subschemes) we show that the height of the subscheme relative to a high power of a positive line bundle is asymptotically determined by the height of the associated cycle. The proof essentially uses the "arithmetic HilbertSamuel theorem" of Gillet and Soulé, and reduces to it using techniques from hermitian analytic geometry. Then we give a finer analysis of the asymptotic expansion of heights of certain particular subschemes. Notably, in the case of relative dimension zero, we express the constant term of the asymptotic expansion by means of the ramification of the subscheme, which solves a question of Michel Laurent concerning heights of interpolation matrices
Autour des motifs. École d'été francoasiatique de géométrie algébrique et de théorie des nombres = sianFrench summer
school on algebraic geometry and number theory by
Marc Levine(
Book
)
2 editions published between 2009 and 2013 in English and held by 2 WorldCat member libraries worldwide
2 editions published between 2009 and 2013 in English and held by 2 WorldCat member libraries worldwide
Fibrés déterminants, métriques de Quillen et dégénérescence des courbes by
J. M Bismut(
)
1 edition published in 1990 in French and held by 2 WorldCat member libraries worldwide
1 edition published in 1990 in French and held by 2 WorldCat member libraries worldwide
Généralisations de la théorie de l'intersection arithmétique by
Gérard Freixas i Montplet(
Book
)
2 editions published in 2007 in English and held by 2 WorldCat member libraries worldwide
The aim of this thesis is to extend several fundamental theorems in Arakelov Geometry, known to hold for projective arithmetic varieties, to the extended frame of quasiprojective varieties. For this one uses the formalism proposed by BurgosKramerKuhn, that generalizes that of Gillet and Soulé. We mainly establish two results : 1. finiteness property for heights attaches to hermitian line bundles, whose metrics are singular. The singularities are of some logarithmic type ; 2. arithmetic RiemannRoch formula for pointed stable curves, whose tanget bundle is endowed with the hyperbolic metric singular at the cusps. Furthermore, several examples are given related to 1 in particular a generalization of a theorem due to Wolpert on the family hyperbolic metric and to 2 we compute special values of the Selberg zeta funcions of modular curves
2 editions published in 2007 in English and held by 2 WorldCat member libraries worldwide
The aim of this thesis is to extend several fundamental theorems in Arakelov Geometry, known to hold for projective arithmetic varieties, to the extended frame of quasiprojective varieties. For this one uses the formalism proposed by BurgosKramerKuhn, that generalizes that of Gillet and Soulé. We mainly establish two results : 1. finiteness property for heights attaches to hermitian line bundles, whose metrics are singular. The singularities are of some logarithmic type ; 2. arithmetic RiemannRoch formula for pointed stable curves, whose tanget bundle is endowed with the hyperbolic metric singular at the cusps. Furthermore, several examples are given related to 1 in particular a generalization of a theorem due to Wolpert on the family hyperbolic metric and to 2 we compute special values of the Selberg zeta funcions of modular curves
Geometry, Analysis and Probability : In Honor of JeanMichel Bismut(
)
1 edition published in 2017 in English and held by 2 WorldCat member libraries worldwide
This volume presents original research articles and extended surveys related to the mathematical interest and work of JeanMichel Bismut. His outstanding contributions to probability theory and global analysis on manifolds have had a profound impact on several branches of mathematics in the areas of control theory, mathematical physics and arithmetic geometry. Contributions by: K. Behrend N. Bergeron S. K. Donaldson J. Dubédat B. Duplantier G. Faltings E. Getzler G. Kings R. Mazzeo J. Millson C. Moeglin W. Müller R. Rhodes D. Rössler S. Sheffield A. Teleman G. Tian KI. Yoshikawa H. Weiss W. Werner The collection is a valuable resource for graduate students and researchers in these fields
1 edition published in 2017 in English and held by 2 WorldCat member libraries worldwide
This volume presents original research articles and extended surveys related to the mathematical interest and work of JeanMichel Bismut. His outstanding contributions to probability theory and global analysis on manifolds have had a profound impact on several branches of mathematics in the areas of control theory, mathematical physics and arithmetic geometry. Contributions by: K. Behrend N. Bergeron S. K. Donaldson J. Dubédat B. Duplantier G. Faltings E. Getzler G. Kings R. Mazzeo J. Millson C. Moeglin W. Müller R. Rhodes D. Rössler S. Sheffield A. Teleman G. Tian KI. Yoshikawa H. Weiss W. Werner The collection is a valuable resource for graduate students and researchers in these fields
Bosonization on higher genus Riemann surfaces by
Luis AlvarezGaumé(
)
1 edition published in 1987 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1987 in English and held by 2 WorldCat member libraries worldwide
Séminaire Bourbaki, vol. 2008/2009 (2010), exposés 9971011 : avec table par noms d'auteurs de 1948/49 à 2008/09(
Book
)
1 edition published in 2010 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 2010 in English and held by 2 WorldCat member libraries worldwide
Courbes semistable et group fondamental en géométrie algébrique : Luminy, Décembre 1998(
Book
)
1 edition published in 2000 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 2000 in English and held by 2 WorldCat member libraries worldwide
Introduction to compact Riemann surfaces, Jacobians, and Abelian varieties by
JeanBenoît Bost(
Book
)
2 editions published in 1992 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 1992 in English and held by 2 WorldCat member libraries worldwide
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Audience Level
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Related Identities
 Le Jan, Y. (Yves) 1952 Editor
 Ma, Xiaonan Other Opponent Editor
 Labourie, François Editor
 Hofer, Helmut 1956 Editor
 Zhang, Weiping 1964 Editor
 Bismut, JeanMichel Opponent Honoree Thesis advisor
 Loeser, François Editor
 Raynaud, Michel Editor
 Laumon, Gérard Honoree
 Genestier, Alain Publishing director Editor
Useful Links
Associated Subjects
Arakelov theory Arithmetical algebraic geometry Automorphic forms Control theory Curves, Algebraic Fundamental groups (Mathematics) Geometry Geometry, Algebraic Global analysis (Mathematics) Hermitian symmetric spaces Lattice theory Manifolds (Mathematics) Mathematical physics Mathematics Motives (Mathematics) Number theory Probabilities Toric varieties Vector bundles
Covers
Alternative Names
Bost, J.B.
JeanBenoît Bost Frans wiskundige
JeanBenoît Bost fransk matematikar
JeanBenoît Bost fransk matematiker
JeanBenoît Bost französischer Mathematiker
JeanBenoît Bost French mathematician
JeanBenoît Bost matemàtic francès
JeanBenoît Bost matemático francês
JeanBenoît Bost matematico francese
JeanBenoît Bost matemáticu francés
JeanBenoit Bost matematikan francez
JeanBenoît Bost mathématicien français
ジーン・ベノイト・ボスト
Languages