Faltings, Gerd
Overview
Works:  38 works in 122 publications in 4 languages and 1,767 library holdings 

Genres:  Conference papers and proceedings Filmed lectures 
Roles:  Author, Editor, Other, edc 
Publication Timeline
.
Most widely held works about
Gerd Faltings
 Talks on the medal and prize winners( Visual )
 The Shaw Prize 2015 : award presentation ceremony on September 24, 2015 & features programme on Shaw laureates by TVBNews( Visual )
 Addresses on the work of 1986 Fields medalists and Nevanlinna prize winner( Visual )
 2015 The Shaw Prize : [life science and medicine]( Visual )
Most widely held works by
Gerd Faltings
Degeneration of Abelian varieties by
Gerd Faltings(
Book
)
15 editions published between 1990 and 2011 in English and Spanish and held by 416 WorldCat member libraries worldwide
This book presents a complete treatment of semiabelian degenerations of abelian varieties, and their application to the construction of arithmetic compactifications of Siegel moduli space. Most results are new and have never been published before. Highlights of the book include a classification of semiabelian schemes, construction of the toroidal and the minimal compactification over the integers, heights for abelian varieties over number fields, and Eichler integrals in several variables. The book also provides a new approach to Siegel modular forms. This work should serve as a valuable reference source for researchers and graduate students interested in algebraic geometry, Shimura varieties, or diophantine geometry
15 editions published between 1990 and 2011 in English and Spanish and held by 416 WorldCat member libraries worldwide
This book presents a complete treatment of semiabelian degenerations of abelian varieties, and their application to the construction of arithmetic compactifications of Siegel moduli space. Most results are new and have never been published before. Highlights of the book include a classification of semiabelian schemes, construction of the toroidal and the minimal compactification over the integers, heights for abelian varieties over number fields, and Eichler integrals in several variables. The book also provides a new approach to Siegel modular forms. This work should serve as a valuable reference source for researchers and graduate students interested in algebraic geometry, Shimura varieties, or diophantine geometry
Lectures on the arithmetic RiemannRoch theorem by
Gerd Faltings(
Book
)
10 editions published in 1992 in English and held by 402 WorldCat member libraries worldwide
10 editions published in 1992 in English and held by 402 WorldCat member libraries worldwide
Rational points : Seminar Bonn/Wuppertal 1983/84 by
Gerd Faltings(
Book
)
37 editions published between 1984 and 2013 in 4 languages and held by 345 WorldCat member libraries worldwide
37 editions published between 1984 and 2013 in 4 languages and held by 345 WorldCat member libraries worldwide
Moderne Mathematik(
Book
)
3 editions published in 1996 in German and English and held by 92 WorldCat member libraries worldwide
3 editions published in 1996 in German and English and held by 92 WorldCat member libraries worldwide
Rational points : seminar Bonn/Wuppertal 1983/84 ; a publication of the MaxPlanckInstitut für Mathematik, Bonn(
Book
)
2 editions published in 1992 in English and held by 31 WorldCat member libraries worldwide
2 editions published in 1992 in English and held by 31 WorldCat member libraries worldwide
Arbeitstagung Bonn 2013 : in memory of Friedrich Hirzebruch by Mathematische Arbeitstagung(
Book
)
10 editions published in 2016 in English and German and held by 17 WorldCat member libraries worldwide
This volume contains selected papers authored by speakers and participants of the 2013 Arbeitstagung, held at the Max Planck Institute for Mathematics in Bonn, Germany, from May 2228. The 2013 meeting (and this resulting proceedings) was dedicated to the memory of Friedrich Hirzebruch, who passed away on May 27, 2012. Hirzebruch organized the first Arbeitstagung in 1957 with a unique concept that would become its most distinctive feature: the program was not determined beforehand by the organizers, but during the meeting by all participants in an open discussion. This ensured that the talks would be on the latest developments in mathematics and that many important results were presented at the conference for the first time. Written by leading mathematicians, the papers in this volume cover various topics from algebraic geometry, topology, analysis, operator theory, and representation theory and display the breadth and depth of pure mathematics that has always been characteristic of the Arbeitstagung. (4e de couv.)
10 editions published in 2016 in English and German and held by 17 WorldCat member libraries worldwide
This volume contains selected papers authored by speakers and participants of the 2013 Arbeitstagung, held at the Max Planck Institute for Mathematics in Bonn, Germany, from May 2228. The 2013 meeting (and this resulting proceedings) was dedicated to the memory of Friedrich Hirzebruch, who passed away on May 27, 2012. Hirzebruch organized the first Arbeitstagung in 1957 with a unique concept that would become its most distinctive feature: the program was not determined beforehand by the organizers, but during the meeting by all participants in an open discussion. This ensured that the talks would be on the latest developments in mathematics and that many important results were presented at the conference for the first time. Written by leading mathematicians, the papers in this volume cover various topics from algebraic geometry, topology, analysis, operator theory, and representation theory and display the breadth and depth of pure mathematics that has always been characteristic of the Arbeitstagung. (4e de couv.)
Recent progress in arithmetic algebraic geometry by
Gerd Faltings(
Visual
)
6 editions published between 1986 and 1988 in English and held by 16 WorldCat member libraries worldwide
Exposé présenté lors du Congrès international des mathématiciens, tenu à Berkeley, Calif., en août 1986
6 editions published between 1986 and 1988 in English and held by 16 WorldCat member libraries worldwide
Exposé présenté lors du Congrès international des mathématiciens, tenu à Berkeley, Calif., en août 1986
Arithmetic and geometry(
Book
)
6 editions published in 2015 in English and held by 13 WorldCat member libraries worldwide
La 4e de couv. indique : "The 'Arithmetic and Geometry' trimester, held at the Hausdorff Research Institute for Mathematics in Bonn, focussed on recent work on Serre's conjecture and on rational points on algebraic varieties. The resulting proceedings volume provides a modern overview of the subject for graduate students in arithmetic geometry and Diophantine geometry. It is also essential reading for any researcher wishing to keep abreast of the latest developments in the field. Highlights include Tim Browning's survey on applications of the circle method to rational points on algebraic varieties and Per Salberger's chapter on rational points on cubic hypersurfaces."
6 editions published in 2015 in English and held by 13 WorldCat member libraries worldwide
La 4e de couv. indique : "The 'Arithmetic and Geometry' trimester, held at the Hausdorff Research Institute for Mathematics in Bonn, focussed on recent work on Serre's conjecture and on rational points on algebraic varieties. The resulting proceedings volume provides a modern overview of the subject for graduate students in arithmetic geometry and Diophantine geometry. It is also essential reading for any researcher wishing to keep abreast of the latest developments in the field. Highlights include Tim Browning's survey on applications of the circle method to rational points on algebraic varieties and Per Salberger's chapter on rational points on cubic hypersurfaces."
Arithmetic algebraic geometry : July 30th  August 5th, 2000(
Book
)
1 edition published in 2000 in English and held by 4 WorldCat member libraries worldwide
1 edition published in 2000 in English and held by 4 WorldCat member libraries worldwide
Mathematical research today and tomorrow : viewpoints of seven Fields medalists : lectures given at the Institut d'Estudis
Catalans, Barcelona, Spain, June 1991 by
Carles Casacuberta(
Book
)
1 edition published in 1992 in English and held by 4 WorldCat member libraries worldwide
The Symposium on the Current State and Prospects of Mathematics was held in Barcelona from June 13 to June 18, 1991. Seven invited Fields medalists gavetalks on the development of their respective research fields. The contents of all lectures were collected in the volume, together witha transcription of a round table discussion held during the Symposium. All papers are expository. Some parts include precise technical statements of recent results, but the greater part consists of narrative text addressed to a very broad mathematical public. CONTENTS: R. Thom: Leaving Mathematics for Philosophy. S. Novikov: Role of Integrable Models in the Development of Mathematics. S.T. Yau: The Current State and Prospects of Geometry and Nonlinear Differential Equations. A. Connes: Noncommutative Geometry. S. Smale: Theory of Computation. V. Jones: Knots in Mathematics and Physics. G. Faltings: Recent Progress in Diophantine Geometry
1 edition published in 1992 in English and held by 4 WorldCat member libraries worldwide
The Symposium on the Current State and Prospects of Mathematics was held in Barcelona from June 13 to June 18, 1991. Seven invited Fields medalists gavetalks on the development of their respective research fields. The contents of all lectures were collected in the volume, together witha transcription of a round table discussion held during the Symposium. All papers are expository. Some parts include precise technical statements of recent results, but the greater part consists of narrative text addressed to a very broad mathematical public. CONTENTS: R. Thom: Leaving Mathematics for Philosophy. S. Novikov: Role of Integrable Models in the Development of Mathematics. S.T. Yau: The Current State and Prospects of Geometry and Nonlinear Differential Equations. A. Connes: Noncommutative Geometry. S. Smale: Theory of Computation. V. Jones: Knots in Mathematics and Physics. G. Faltings: Recent Progress in Diophantine Geometry
Arithmetic algebraic geometry : 12.7. bis 18.7.1992(
Book
)
2 editions published in 1992 in German and held by 3 WorldCat member libraries worldwide
Bernard M. Dwork; Werner Bauer; Pierre Berthelot; Bryan J. Birch; Don Blasius; Spencer J. Bloch; JeanFrancois Boutot; ChingLi Chai; Laurent Clozel; John H. Coates; Pierre Colmez; Johan de Jong; Gerd Faltings; JeanMarc Fontaine; Henri Gillet; Alexander Goncharov; Günter Harder; Michael Harris; Luc Illusie; Nicholas M. Katz; Guido Kings; Gerard Laumon; Stephen Lichtenbaum; Jurii Ivanovic Manin; William Messing; James S. Milne; Jacob P. Murre; Jan Nekovar; Takayuki Oda; Arthur Ogus; Richard Pink; Dinakar Ramakrishnan; Michael Rapoport; Morihiko Saito; Norbert Schappacher; Peter Schneider; Anthony J. Scholl; Christophe Soule; Ulrich Stuhler; Lucien Szpiro; Paul A. Vojta; JeanPierre Wintenberger; Gisbert Wüstholz; Thomas Zink
2 editions published in 1992 in German and held by 3 WorldCat member libraries worldwide
Bernard M. Dwork; Werner Bauer; Pierre Berthelot; Bryan J. Birch; Don Blasius; Spencer J. Bloch; JeanFrancois Boutot; ChingLi Chai; Laurent Clozel; John H. Coates; Pierre Colmez; Johan de Jong; Gerd Faltings; JeanMarc Fontaine; Henri Gillet; Alexander Goncharov; Günter Harder; Michael Harris; Luc Illusie; Nicholas M. Katz; Guido Kings; Gerard Laumon; Stephen Lichtenbaum; Jurii Ivanovic Manin; William Messing; James S. Milne; Jacob P. Murre; Jan Nekovar; Takayuki Oda; Arthur Ogus; Richard Pink; Dinakar Ramakrishnan; Michael Rapoport; Morihiko Saito; Norbert Schappacher; Peter Schneider; Anthony J. Scholl; Christophe Soule; Ulrich Stuhler; Lucien Szpiro; Paul A. Vojta; JeanPierre Wintenberger; Gisbert Wüstholz; Thomas Zink
Almost étale extensions by
Gerd Faltings(
)
2 editions published in 1998 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 1998 in English and held by 2 WorldCat member libraries worldwide
Lectures on the Arithmetic RiemannRoch Theorem. (AM127) by
Gerd Faltings(
Book
)
3 editions published between 1992 and 2016 in English and held by 1 WorldCat member library worldwide
The arithmetic RiemannRoch Theorem has been shown recently by BismutGilletSoul. The proof mixes algebra, arithmetic, and analysis. The purpose of this book is to give a concise introduction to the necessary techniques, and to present a simplified and extended version of the proof. It should enable mathematicians with a background in arithmetic algebraic geometry to understand some basic techniques in the rapidly evolving field of Arakelovtheory
3 editions published between 1992 and 2016 in English and held by 1 WorldCat member library worldwide
The arithmetic RiemannRoch Theorem has been shown recently by BismutGilletSoul. The proof mixes algebra, arithmetic, and analysis. The purpose of this book is to give a concise introduction to the necessary techniques, and to present a simplified and extended version of the proof. It should enable mathematicians with a background in arithmetic algebraic geometry to understand some basic techniques in the rapidly evolving field of Arakelovtheory
Finiteness of coherent cohomology for proper FPPF stacks(
)
1 edition published in 2002 in English and held by 1 WorldCat member library worldwide
1 edition published in 2002 in English and held by 1 WorldCat member library worldwide
Arithmetic algebraic geometry 28.07.  03.08.1996(
Book
)
1 edition published in 1996 in English and held by 1 WorldCat member library worldwide
1 edition published in 1996 in English and held by 1 WorldCat member library worldwide
Groupschemes with strict Oaction by
Gerd Faltings(
Book
)
1 edition published in 2002 in English and held by 1 WorldCat member library worldwide
1 edition published in 2002 in English and held by 1 WorldCat member library worldwide
A relation between two moduli spaces by V.G. Drinfeld by
Gerd Faltings(
Book
)
1 edition published in 2002 in English and held by 1 WorldCat member library worldwide
1 edition published in 2002 in English and held by 1 WorldCat member library worldwide
Einige Sätze zum Thema abelsche Varietäten über Zahlkörpern by
Gerd Faltings(
Book
)
1 edition published in 1983 in German and held by 1 WorldCat member library worldwide
1 edition published in 1983 in German and held by 1 WorldCat member library worldwide
Lectures on the Arithmetic RiemannRoch Theorem. (AM127) by
Gerd Faltings(
)
1 edition published in 1992 in English and held by 0 WorldCat member libraries worldwide
1 edition published in 1992 in English and held by 0 WorldCat member libraries worldwide
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Related Identities
 Chai, ChingLi
 Wüstholz, Gisbert Other Editor
 Zhang, Shouwu Redactor
 Dieulefait, Luis Editor
 HeathBrown, D. R. Editor
 Wintenberger, JeanPierre Editor
 Moroz, B. Z. Editor
 Manin, Yu V. Editor
 MaxPlanckInstitut für Mathematik (Bonn)
 Zagier, Don Editor
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Associated Subjects
Abelian varieties Algebraic number theory Algebraic topology Arithmetical algebraic geometry AstronomyAwards Award presentations Awards ChinaHong Kong Compactifications Computer science Fourmanifolds (Topology) Functional equations Geometry Geometry, Algebraic Geometry, Differential Geometry of numbers Global analysis (Mathematics) Global differential geometry Group theory Integral equations Manifolds (Mathematics) Mathematical physics Mathematicians Mathematics MathematicsAwards MathematicsResearch MedicineAwards Modular curves Moduli theory Mordell conjecture Number theory Operator theory Rational points (Geometry) RiemannRoch theorems ScienceAwards Shaw, Run Run, Surfaces, AlgebraicDegenerations Topology Weil conjectures
Alternative Names
Faltings, G. 1954
Gerd Faltings Duitse wiskundige
Gerd Faltings Dútske wiskundige
Gerd Faltings German mathematician
Gerd Faltings matemàtic alemany
Gerd Faltings matemático alemán
Gerd Faltings matematico tedesco
Gerd Faltings mathématicien allemand
Gerd Faltings tysk matematikar
Gerd Faltings tysk matematiker
Герд Фалтінгс
Герд Фальтингс
גרד פאלטינגס
גרד פאלטינגס מתמטיקאי גרמני
غيرد فالتينغز رياضياتي ألماني
غيلد فالتينغز
قرد فالتینقز
گرد فالتینگز ریاضیدان آلمانی
گرڈ فالٹنگ
ဂီရာ့ဒ် ဖောလ်တင်းစ်
게르트 팔팅스
ゲルト・ファルティングス
格尔德·法尔廷斯
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