Sebag, Julien
Overview
Works:  11 works in 40 publications in 2 languages and 468 library holdings 

Roles:  Editor, Author, Thesis advisor, 958, Opponent 
Publication Timeline
.
Most widely held works by
Julien Sebag
Motivic integration and its interactions with model theory and nonArchimedean geometry by
Raf Cluckers(
)
10 editions published in 2011 in English and held by 132 WorldCat member libraries worldwide
"The development of Maxim Kontsevich's initial ideas on motivic integration has unexpectedly influenced many other areas of mathematics, ranging from the Langlands program over harmonic analysis, to nonArchimedean analysis, singularity theory and birational geometry. This book assembles the different theories of motivic integration and their applications for the first time, allowing readers to compare different approaches and assess their individual strengths. All of the necessary background is provided to make the book accessible to graduate students and researchers from algebraic geometry, model theory and number theory. Applications in several areas are included so that readers can see motivic integration at work in other domains. In a rapidlyevolving area of research this book will prove invaluable. This first volume contains introductory texts on the model theory of valued fields, different approaches to nonArchimedean geometry, and motivic integration on algebraic varieties and nonArchimedean spaces"
10 editions published in 2011 in English and held by 132 WorldCat member libraries worldwide
"The development of Maxim Kontsevich's initial ideas on motivic integration has unexpectedly influenced many other areas of mathematics, ranging from the Langlands program over harmonic analysis, to nonArchimedean analysis, singularity theory and birational geometry. This book assembles the different theories of motivic integration and their applications for the first time, allowing readers to compare different approaches and assess their individual strengths. All of the necessary background is provided to make the book accessible to graduate students and researchers from algebraic geometry, model theory and number theory. Applications in several areas are included so that readers can see motivic integration at work in other domains. In a rapidlyevolving area of research this book will prove invaluable. This first volume contains introductory texts on the model theory of valued fields, different approaches to nonArchimedean geometry, and motivic integration on algebraic varieties and nonArchimedean spaces"
Motivic integration and its interactions with model theory and nonArchimedean geometry(
Book
)
9 editions published in 2011 in English and held by 123 WorldCat member libraries worldwide
"The development of Maxim Kontsevich's initial ideas on motivic integration has unexpectedly influenced many other areas of mathematics, ranging from the Langlands program over harmonic analysis, to nonArchimedean analysis, singularity theory and birational geometry. This [work] assembles the different theories of motivic integration and their applications for the first time, allowing readers to compare different approaches and assess their individual strengths. All of the necessary background is provided to make the book accessible to graduate students and researchers from algebraic geometry, model theory and number theory. Applications in several areas are included so that readers can see motivic integration at work in other domains. In a rapidlyevolving area of research this [work] will prove invaluable"Page 4 de la couv
9 editions published in 2011 in English and held by 123 WorldCat member libraries worldwide
"The development of Maxim Kontsevich's initial ideas on motivic integration has unexpectedly influenced many other areas of mathematics, ranging from the Langlands program over harmonic analysis, to nonArchimedean analysis, singularity theory and birational geometry. This [work] assembles the different theories of motivic integration and their applications for the first time, allowing readers to compare different approaches and assess their individual strengths. All of the necessary background is provided to make the book accessible to graduate students and researchers from algebraic geometry, model theory and number theory. Applications in several areas are included so that readers can see motivic integration at work in other domains. In a rapidlyevolving area of research this [work] will prove invaluable"Page 4 de la couv
Motivic integration by
Antoine ChambertLoir(
)
4 editions published in 2018 in English and held by 103 WorldCat member libraries worldwide
This monograph focuses on the geometric theory of motivic integration, which takes its values in the Grothendieck ring of varieties. This theory is rooted in a groundbreaking idea of Kontsevich and was further developed by Denef & Loeser and Sebag. It is presented in the context of formal schemes over a discrete valuation ring, without any restriction on the residue characteristic. The text first discusses the main features of the Grothendieck ring of varieties, arc schemes, and Greenberg schemes. It then moves on to motivic integration and its applications to birational geometry and nonArchimedean geometry. Also included in the work is a prologue on padic analytic manifolds, which served as a model for motivic integration. With its extensive discussion of preliminaries and applications, this book is an ideal resource for graduate students of algebraic geometry and researchers of motivic integration. It will also serve as a motivation for more recent and sophisticated theories that have been developed since.
4 editions published in 2018 in English and held by 103 WorldCat member libraries worldwide
This monograph focuses on the geometric theory of motivic integration, which takes its values in the Grothendieck ring of varieties. This theory is rooted in a groundbreaking idea of Kontsevich and was further developed by Denef & Loeser and Sebag. It is presented in the context of formal schemes over a discrete valuation ring, without any restriction on the residue characteristic. The text first discusses the main features of the Grothendieck ring of varieties, arc schemes, and Greenberg schemes. It then moves on to motivic integration and its applications to birational geometry and nonArchimedean geometry. Also included in the work is a prologue on padic analytic manifolds, which served as a model for motivic integration. With its extensive discussion of preliminaries and applications, this book is an ideal resource for graduate students of algebraic geometry and researchers of motivic integration. It will also serve as a motivation for more recent and sophisticated theories that have been developed since.
Motivic integration and its interactions with model theory and nonArchimedean geometry by
Raf Cluckers(
)
9 editions published in 2011 in English and held by 98 WorldCat member libraries worldwide
This book assembles the different theories of motivic integration and their applications allowing readers to compare different approaches and assess their individual strengths
9 editions published in 2011 in English and held by 98 WorldCat member libraries worldwide
This book assembles the different theories of motivic integration and their applications allowing readers to compare different approaches and assess their individual strengths
Motivic integration and its interactions with model theory and nonArchimedean geometry : Volume II(
)
2 editions published in 2011 in English and held by 5 WorldCat member libraries worldwide
2 editions published in 2011 in English and held by 5 WorldCat member libraries worldwide
Intégration motivique by
Julien Sebag(
Book
)
1 edition published in 2002 in French and held by 2 WorldCat member libraries worldwide
1 edition published in 2002 in French and held by 2 WorldCat member libraries worldwide
Motivic integration and its interactions with model theory and nonArchimedean geometry(
Book
)
1 edition published in 2011 in English and held by 1 WorldCat member library worldwide
1 edition published in 2011 in English and held by 1 WorldCat member library worldwide
Singularités des courbes planes, module des dérivations et schéma des arcs by
Kodjo Egadédé Kpognon(
)
1 edition published in 2014 in French and held by 1 WorldCat member library worldwide
A toute variété algébrique on peut associer différents objets algébricogéométriques qui rendent compte en particulier des singularités de la variété. Cette thèse traite de l'interaction entre l'étude des singularités, le schéma des arcs et le module des dérivations dans le cadre des courbes algébriques affines planes. Elle démontre que les dtissus quasihomogènes incomplets sont linéarisables pour d > 3 en utilisant un théorème d'Alain Hénaut. Enfin, dans un dernier chapitre, cette thèse introduit le formalisme des fonctions zêta motiviques associées à une 1forme locale
1 edition published in 2014 in French and held by 1 WorldCat member library worldwide
A toute variété algébrique on peut associer différents objets algébricogéométriques qui rendent compte en particulier des singularités de la variété. Cette thèse traite de l'interaction entre l'étude des singularités, le schéma des arcs et le module des dérivations dans le cadre des courbes algébriques affines planes. Elle démontre que les dtissus quasihomogènes incomplets sont linéarisables pour d > 3 en utilisant un théorème d'Alain Hénaut. Enfin, dans un dernier chapitre, cette thèse introduit le formalisme des fonctions zêta motiviques associées à une 1forme locale
Contributions à l'étude cohomologique des points rationnels sur les variétés algébriques by
Arne Smeets(
)
1 edition published in 2014 in English and held by 1 WorldCat member library worldwide
The main theme of this thesis is the interplay between the "behaviour" of the rational points on certain classes of algebraic varieties defined over global and local fields, andthe cohomology of these varieties. Part I studies the BrauerManin obstruction to the validity of localglobal principles (such as the Hasse principle and weak approximation) coming from the Brauer groupof a variety. In some cases, for certain families of torsors under a constant torusdefined over a number field, we prove that the BrauerManin obstruction is sufficientto explain the failure of these localglobal principles. We also give new examples of varieties for which the BrauerManin obstruction and its refinements are insufficientto explain the failure of the Hasse principle.In Part II, we investigate the relationship between the rational volume of a smooth, projective variety defined over a strictly local field, and the trace of the tame monodromy operator on the étale cohomology of this variety. The motivation is work of NicaiseSebag on a trace formula for the motivic Serre invariant, inspired by the GrothendieckLefschetz trace formula for varieties over finite fields. We study this relationship using the framework of logarithmic geometry
1 edition published in 2014 in English and held by 1 WorldCat member library worldwide
The main theme of this thesis is the interplay between the "behaviour" of the rational points on certain classes of algebraic varieties defined over global and local fields, andthe cohomology of these varieties. Part I studies the BrauerManin obstruction to the validity of localglobal principles (such as the Hasse principle and weak approximation) coming from the Brauer groupof a variety. In some cases, for certain families of torsors under a constant torusdefined over a number field, we prove that the BrauerManin obstruction is sufficientto explain the failure of these localglobal principles. We also give new examples of varieties for which the BrauerManin obstruction and its refinements are insufficientto explain the failure of the Hasse principle.In Part II, we investigate the relationship between the rational volume of a smooth, projective variety defined over a strictly local field, and the trace of the tame monodromy operator on the étale cohomology of this variety. The motivation is work of NicaiseSebag on a trace formula for the motivic Serre invariant, inspired by the GrothendieckLefschetz trace formula for varieties over finite fields. We study this relationship using the framework of logarithmic geometry
Motivic integration and its interactions with model theory and nonArchimedean geometry(
)
1 edition published in 2011 in English and held by 1 WorldCat member library worldwide
The development of Maxim Kontsevich's initial ideas on motivic integration has unexpectedly influenced many other areas of mathematics, ranging from the Langlands program over harmonic analysis, to nonArchimedean analysis, singularity theory and birational geometry. This book assembles the different theories of motivic integration and their applications for the first time, allowing readers to compare different approaches and assess their individual strengths. All of the necessary background is provided to make the book accessible to graduate students and researchers from algebraic geometry, model theory and number theory. Applications in several areas are included so that readers can see motivic integration at work in other domains. In a rapidlyevolving area of research this book will prove invaluable. This second volume discusses various applications of nonArchimedean geometry, model theory and motivic integration and the interactions between these domains
1 edition published in 2011 in English and held by 1 WorldCat member library worldwide
The development of Maxim Kontsevich's initial ideas on motivic integration has unexpectedly influenced many other areas of mathematics, ranging from the Langlands program over harmonic analysis, to nonArchimedean analysis, singularity theory and birational geometry. This book assembles the different theories of motivic integration and their applications for the first time, allowing readers to compare different approaches and assess their individual strengths. All of the necessary background is provided to make the book accessible to graduate students and researchers from algebraic geometry, model theory and number theory. Applications in several areas are included so that readers can see motivic integration at work in other domains. In a rapidlyevolving area of research this book will prove invaluable. This second volume discusses various applications of nonArchimedean geometry, model theory and motivic integration and the interactions between these domains
Motivic integration and its interactions with model theory and nonArchimedean geometry(
Book
)
1 edition published in 2011 in English and held by 1 WorldCat member library worldwide
1 edition published in 2011 in English and held by 1 WorldCat member library worldwide
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Related Identities
 Nicaise, Johannes Opponent Thesis advisor Editor
 Cluckers, Raf Author Editor
 ChambertLoir, Antoine Opponent Author
 Université Pierre et Marie Curie (Paris)
 Loeser, François (1958 ...).
 London Mathematical Society
 Veys, Wim (1963) Opponent
 Katholieke universiteit te Leuven (1970....).
 ColliotThélène, JeanLouis (1947....). Opponent Thesis advisor
 Université ParisSud Degree grantor
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Alternative Names
Julien Sebag Francouzský matematik
Julien Sebag Francuski matematičar
Julien Sebag Francuski matematyk
Julien Sebag Francúzsky matematik
Julien Sebag Frans wiskundige
Julien Sebag fransk matematikar
Julien Sebag fransk matematiker
Julien Sebag französischer Mathematiker
Julien Sebag French mathematician
Julien Sebag matemàtic francès
Julien Sebag matemático francés
Sebag, JulienMarie
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