WorldCat Identities

Serre, Jean-Pierre 1926-

Works: 228 works in 1,508 publications in 9 languages and 17,672 library holdings
Genres: Conference papers and proceedings  Records and correspondence  Sources  History 
Roles: Author, Editor, Collector, Author of introduction, Other, Interviewee, 956, Opponent, Honoree
Classifications: QA171, 512.2
Publication Timeline
Most widely held works about Jean-Pierre Serre
Most widely held works by Jean-Pierre Serre
Linear representations of finite groups by Jean-Pierre Serre( Book )

89 editions published between 1966 and 2014 in 6 languages and held by 1,377 WorldCat member libraries worldwide

This book consists of three parts, rather different in level and purpose. The first part was originally written for quantum chemists. It describes the correspondence, due to Frobenius, between linear representations and characters. This is a fundamental result of constant use in mathematics as well as in quantum chemistry or physics. The examples in this part are chosen from those useful to chemists. The second part is a course given in 1966 to second-year students of l'Ecole Normale. It completes in a certain sense the first part. The third part is an introduction to Brauer Theory. Several Applications to the Artin representation are given
A course in arithmetic by Jean-Pierre Serre( Book )

77 editions published between 1970 and 2009 in 5 languages and held by 1,173 WorldCat member libraries worldwide

Lie algebras and Lie groups; 1964 lectures given at Harvard University by Jean-Pierre Serre( Book )

61 editions published between 1965 and 2009 in 3 languages and held by 1,009 WorldCat member libraries worldwide

This book reproduces J-P. Serre's 1964 Harvard lectures. The aim is to introduce the reader to the "Lie dictionary": Lie algebras and Lie groups. Special features of the presentation are its emphasis on formal groups (in the Lie group part) and the use of analytic manifolds on p-adic fields. Some knowledge of algebra and calculus is required of the reader, but the text is easily accessible to graduate students, and to mathematicians at large
Algèbres de Lie semi-simples complexes by Jean-Pierre Serre( Book )

52 editions published between 1966 and 2017 in 3 languages and held by 962 WorldCat member libraries worldwide

These short notes, already well-known in their original French edition, give the basic theory of semisimple Lie algebras over the complex numbers, including classification theorem. The author begins with a summary of the general properties of nilpotent, solvable, and semisimple Lie algebras. Subsequent chapters introduce Cartan subalgebras, root systems, and linear representations. The last chapter discusses the connection between Lie algebras, complex groups and compact groups; it is intended to guide the reader towards further study
Algebraic groups and class fields : translation of the French edition by Jean-Pierre Serre( Book )

55 editions published between 1959 and 2012 in 4 languages and held by 931 WorldCat member libraries worldwide

Of the Main Results -- Algebraic Curves -- Maps From a Curve to a Commutative Group -- Singular Algebraic Curves -- Generalized Jacobians -- Class Field Theory -- Group Extension and Cohomology -- Bibliography -- Supplementary Bibliography -- Index
Galois cohomology by Jean-Pierre Serre( Book )

65 editions published between 1963 and 2013 in 3 languages and held by 698 WorldCat member libraries worldwide

Algèbre locale, multiplicités; cours au Collège de France, 1957-1958 by Jean-Pierre Serre( Book )

60 editions published between 1965 and 1997 in 5 languages and held by 647 WorldCat member libraries worldwide

This edition reproduces the 2nd corrected printing of the 3rd edition of the now classic notes by Professor Serre, long established as one of the standard introductory texts on local algebra. Referring for background notions to Bourbaki's "Commutative Algebra" (English edition Springer-Verlag 1988), the book focusses on the various dimension theories and theorems on mulitplicities of intersections with the Cartan-Eilenberg functor Tor as the central concept. The main results are the decomposition theorems, theorems of Cohen-Seidenberg, the normalisation of rings of polynomials, dimension (in the sense of Krull) and characteristic polynomials (in the sense of Hilbert-Samuel)
Abelian l̳-adic representations and elliptic curves; McGill University lecture notes by Jean-Pierre Serre( Book )

42 editions published between 1968 and 1998 in 3 languages and held by 634 WorldCat member libraries worldwide

Trees by Jean-Pierre Serre( Book )

28 editions published between 1980 and 2013 in English and Undetermined and held by 601 WorldCat member libraries worldwide

The present book is an English translation of "Arbres, Amalgames, SL(2)", published in 1977 by J-P. Serre, and written with the collaboration of H. Bass. The first chapter describes the "arboreal dictionary" between graphs of groups and group actions on trees. The second chapter gives applications to the Bruhat-Tits tree of SL(2) over a local field
Local fields by Jean-Pierre Serre( Book )

29 editions published between 1979 and 2013 in English and German and held by 558 WorldCat member libraries worldwide

The goal of this book is to present local class field theory from the cohomo logical point of view, following the method inaugurated by Hochschild and developed by Artin-Tate. This theory is about extensions-primarily abelian-of "local" (i.e., complete for a discrete valuation) fields with finite residue field. For example, such fields are obtained by completing an algebraic number field; that is one of the aspects of "localisation". The chapters are grouped in "parts". There are three preliminary parts: the first two on the general theory of local fields, the third on group coho mology. Local class field theory, strictly speaking, does not appear until the fourth part. Here is a more precise outline of the contents of these four parts: The first contains basic definitions and results on discrete valuation rings, Dedekind domains (which are their "globalisation") and the completion process. The prerequisite for this part is a knowledge of elementary notions of algebra and topology, which may be found for instance in Bourbaki. The second part is concerned with ramification phenomena (different, discriminant, ramification groups, Artin representation). Just as in the first part, no assumptions are made here about the residue fields. It is in this setting that the "norm" map is studied; I have expressed the results in terms of "additive polynomials" and of "multiplicative polynomials", since using the language of algebraic geometry would have led me too far astray
Corps locaux by Jean-Pierre Serre( Book )

35 editions published between 1962 and 2004 in 3 languages and held by 483 WorldCat member libraries worldwide

Topics in Galois theory by Jean-Pierre Serre( Book )

26 editions published between 1992 and 2008 in English and Undetermined and held by 482 WorldCat member libraries worldwide

This book is based on a course given by the author at Harvard University in the fall semester of 1988. The course focused on the inverse problem of Galois Theory: the construction of field extensions having a given finite group as Galois group. In the first part of the book, classical methods and results, such as the Scholz and Reichardt construction for p-groups, p != 2, as well as Hilbert's irreducibility theorem and the large sieve inequality, are presented. The second half is devoted to rationality and rigidity criteria and their application in realizing certain groups as Galois groups of
Cohomologie galoisienne, cours au Collège de France, 1962-1963 by Jean-Pierre Serre( Book )

40 editions published between 1964 and 1973 in 4 languages and held by 423 WorldCat member libraries worldwide

Lectures on the Mordell-Weil theorem by Jean-Pierre Serre( Book )

31 editions published between 1989 and 2013 in English and German and held by 363 WorldCat member libraries worldwide

This is a translation of "Autour du theoreme de Mordell-Well", a course given by J.-P. Serre at the College de France in 1980 and 1981. These notes were originally written weekly by Michel Waldschmidt and have been reproduced by Publications Mathematiques de l'Universite de Paris VI, by photocopying the handwritten manuscript. The present translation follows roughly the French text, with many modi fications and rearrangements. We have not tried to give a detailed account of the new results due to Faltings, Raynaud, Gross-Zagier ... ; we have just mentioned them in notes at the appropriate places, and given bibliographical references. M.L. Brown Paris, Fall 1988 I.-P. Serre VII CONTENTS 1. Summary. 1 1. 1. Heights. 3 1. 2. The Mordell-Weil theorem and Mordell's conjecture. 3 1. 3. Integral points on algebraic curves. Siegel's theorem. 4 1. 4. Baker's method. 5 1. 5. Hilbert's irreducibility theorem. Sieves. 5 2. Heights. 7 2. 1. The product formula. 7 2. 2. Heights on P m(K). 10 2. 3. Properties of heights. 13 2. 4. Northcott's finiteness theorem. 16 2. 5. Quantitative form of Northcott's theorem. 17 '2. 6. Height associated to a morphism
Oeuvres = Collected papers by Jean-Pierre Serre( Book )

40 editions published between 1985 and 2003 in 4 languages and held by 347 WorldCat member libraries worldwide

Grothendieck-Serre correspondence by A Grothendieck( Book )

24 editions published between 2001 and 2004 in 3 languages and held by 342 WorldCat member libraries worldwide

"The book is a bilingual (French and English) edition of the mathematical correspondence between A. Grothendieck and J.-P. Serre. The original French text of 84 letters is supplemented here by the English translation, with French text printed on the left-hand pages and the corresponding English text printed on the right-hand pages. The book also includes several facsimiles of original letters." "The letters presented in the book were mainly written between 1955 and 1965. During this period, algebraic geometry went through a remarkable transformation, and Grothendieck and Serre were among central figures in this process. The reader can follow the creation of some of the most important notions of modern mathematics, like sheaf cohomology, schernes, Riemann-Roch type theorems, algebraic fundamental group, motives. The letters also reflect the mathematical and political atmosphere of this period (Bourbaki, Paris, Harvard, Princeton, war in Algeria, etc.) Also included are a few letters written between 1984 and 1987. The letters are supplemented by J.-P. Serre's notes, which give explanations, corrections, and references further results." "The book should be useful to specialists in algebraic geometry, in history of mathematics, and to all mathematicians who want to understand how great mathematics is created."--BOOK JACKET
Modular functions of one variable V- : proceedings, international conference, University of Bonn, Sonderforschungsbereich Theoretische Mathematik, July 2-14, 1976 by Jean-Pierre Serre( Book )

32 editions published between 1977 and 2008 in 3 languages and held by 319 WorldCat member libraries worldwide

Motives by Summer Research Conference on Motives( Book )

19 editions published between 1991 and 1994 in English and held by 308 WorldCat member libraries worldwide

Local algebra by Jean-Pierre Serre( Book )

16 editions published between 2000 and 2011 in English and held by 305 WorldCat member libraries worldwide

This is an English translation of the now classic "Algèbre Locale - Multiplicités" originally published by Springer as LNM 11, in several editions since 1965. It gives a short account of the main theorems of commutative algebra, with emphasis on modules, homological methods and intersection multiplicities ("Tor-formula"). Many modifications to the original French text have been made by the author for this English edition: they make the text easier to read, without changing its intended informal character
Galois groups over Q : proceedings of a workshop held March 23-27, 1987 by Y Ihara( Book )

14 editions published in 1989 in English and Multiple languages and held by 303 WorldCat member libraries worldwide

This volume is being published in connection with a March, 1987 workshop on Galois groups over Q and related topics, held at the Mathematical Sciences Research Institute in Berkeley. The organizing committee for the workshop consisted of Kenneth Ribet (chairman), Yasutaka Ihara, and Jean-Pierre Serre. The volume contains key original papers by experts in the field, and treats a variety of questions in arithmetical algebraic geometry. A number of the contributions discuss Galois actions on fundamental groups, and associated topics: these include Fermat curves, Gauss sums, cyclotomic units, and motivic questions. Other themes which reoccur include semistable reduction of algebraic varieties, deformations of Galois representations, and connections between Galois representations and modular forms. The authors contributing to the volume are: G.W. Anderson, D. Blasius, D. Ramakrishnan, P. Deligne, Y. Ihara, U. Jannsen, B.H. Matzat, B. Maszur, and K. Wingberg. The contributions are of exceptionally high quality, and this book will have permanent value. The volume will be of great interest to students and established workers in many areas of algebraic number theory and algebraic geometry
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WorldCat IdentitiesRelated Identities
A course in arithmetic
Alternative Names
Jean-Pierre Serre Frans wiskundige

Jean-Pierre Serre fransk matematikar

Jean-Pierre Serre fransk matematiker

Jean-Pierre Serre französischer Mathematiker

Jean-Pierre Serre French mathematician

Jean-Pierre Serre matemàtic francès

Jean-Pierre Serre matematico e accademico francese

Jean-Pierre Serre matemático francés

Jean-Pierre Serre matematyk francuski

Jean-Pierre Serre mathématicien français

Serr, Ž.

Serr, Ž. 1926-

Serr, Ž.-P.

Serr, Z.-P. 1926-

Serr, Zh.-P.

Serr, Zh.-P. 1926-

Serr, Zhan-Pʹer 1926-

Serre, J.

Serre, J. 1926-

Serre, J.P.

Serre, J.-P. 1926-

Serre, J. P. (Jean Pierre), 1926-

Serre, Jean 1926-

Serre, Jean P. 1926-

Serre, Jean-Pierre

Serre, Jean-Pierre 1926-

Жан-Пьер Серр французский математик

Жан-П'єр Серр

Серр, Ж.-П..

Серр, Ж.-П 1926-

ז'אן-פייר סר

ז'אן-פייר סר מתמטיקאי צרפתי

جان-بيير سير

جان-بيير سير رياضياتي فرنسي

جان-پیری سیری

ژان پیر سر ریاضی‌دان فرانسوی

ရောန်-ဖြဲ ဆဲ

장피에르 세르


セール, J.-P.

セール, ジャンーピエール


A course in arithmeticLie algebras and Lie groups; 1964 lectures given at Harvard UniversityAlgèbres de Lie semi-simples complexesAlgebraic groups and class fields : translation of the French editionGalois cohomologyAlgèbre locale, multiplicités; cours au Collège de France, 1957-1958Abelian l̳-adic representations and elliptic curves; McGill University lecture notesTrees