WorldCat Identities

Serre, Jean-Pierre 1926-

Works: 123 works in 977 publications in 12 languages and 14,671 library holdings
Genres: Conference papers and proceedings  Records and correspondence  Sources  History 
Roles: Author, Editor, Collector, Other, Interviewee, 956, Author of introduction, 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 )

60 editions published between 1967 and 2014 in 8 languages and held by 1,134 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
Galois cohomology by Jean-Pierre Serre( Book )

75 editions published between 1963 and 2013 in 5 languages and held by 1,108 WorldCat member libraries worldwide

This is an updated English translation of "Cohomologie Galoisienne", published more than 30 years ago as one of the very first Lecture Notes in Mathematics (LNM 5). It includes a reproduction of an influential paper of R. Steinberg, together with some new material and an expanded bibliography
Lie algebras and Lie groups; 1964 lectures given at Harvard University by Jean-Pierre Serre( Book )

33 editions published between 1965 and 2006 in 4 languages and held by 903 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
Algebraic groups and class fields : translation of the French edition by Jean-Pierre Serre( Book )

45 editions published between 1957 and 2012 in 5 languages and held by 902 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
A course in arithmetic by Jean-Pierre Serre( Book )

32 editions published between 1970 and 2009 in 5 languages and held by 894 WorldCat member libraries worldwide

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

58 editions published between 1958 and 2011 in 4 languages and held by 872 WorldCat member libraries worldwide

Local fields by Jean-Pierre Serre( Book )

29 editions published between 1962 and 2014 in French and English and held by 869 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
Algèbres de Lie semi-simples complexes by Jean-Pierre Serre( Book )

20 editions published between 1966 and 2001 in English and French and held by 822 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
Trees by Jean-Pierre Serre( Book )

42 editions published between 1969 and 2013 in 3 languages and held by 695 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
Abelian l̳-adic representations and elliptic curves; McGill University lecture notes by Jean-Pierre Serre( Book )

22 editions published between 1968 and 1999 in 3 languages and held by 559 WorldCat member libraries worldwide

Modular functions of one variable V- : proceedings, international conference, University of Bonn, Sonderforschungsbereich Theoretische Mathematik, July 2-14, 1976 by B. J Birch( Book )

99 editions published between 1973 and 2008 in 3 languages and held by 537 WorldCat member libraries worldwide

An international Summer School on: "Modular functions of one variable and arithmetical applications" took place at RUCA, Antwerp University, from July 17 to - gust 3, 1972. This book is the first volume (in a series of four) of the Proceedings of the Summer School. It includes the basic course given by A. Ogg, and several other papers with a strong analytc̃ flavour. Volume 2 contains the courses of R. P. Langlands (l-adic rep{u00AD} resentations) and P. Deligne (modular schemes - representations of GL ) and papers on related topics. 2 Volume 3 is devoted to p-adic properties of modular forms and applications to l-adic representations and zeta functions. Volume 4 collects various material on elliptic curves, includ{u00AD} ing numerical tables. The School was a NATO Advanced Study Institute, and the orga{u00AD} nizers want to thank NATO for its major subvention. Further support, in various forms, was received from IBM Belgium, the Coca-Cola Co. of Belgium, Rank Xerox Belgium, the Fort Food Co. of Belgium, and NSF Washington, D.C{u2022}{u2022} We extend our warm{u00AD} est thanks to all of them, as well as to RUCA and the local staff (not forgetting hostesses and secretaries!) who did such an excellent job
Topics in Galois theory by Jean-Pierre Serre( Book )

15 editions published between 1992 and 2008 in English and held by 438 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
Lectures on the Mordell-Weil theorem by Jean-Pierre Serre( Book )

20 editions published between 1989 and 2013 in English and German and held by 323 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
Gesammelte Abhandlungen by Ferdinand Georg Frobenius( Book )

24 editions published between 1968 and 2016 in 3 languages and held by 318 WorldCat member libraries worldwide

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 301 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
Cohomological invariants in Galois cohomology by Skip Garibaldi( Book )

9 editions published in 2003 in English and held by 238 WorldCat member libraries worldwide

Grothendieck-Serre correspondence by A Grothendieck( Book )

10 editions published between 2001 and 2004 in 3 languages and held by 223 WorldCat member libraries worldwide

Lectures on Nx(p) by Jean-Pierre Serre( Book )

4 editions published in 2012 in English and held by 102 WorldCat member libraries worldwide

"This book deals with the question on how N_X(p), the number of solutions of mod p congruences, varies with p when the family (X) of polynomial equations is fixed. While such a general question cannot have a complete answer, it offers a good occasion for reviewing various techniques in l-acic cohomology and group representations, presented in a context that is appealing to specialists in number theory and algebraic geometry."
Motives by Summer Research Conference on Motives( Book )

9 editions published in 1994 in English and held by 22 WorldCat member libraries worldwide

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Audience level: 0.69 (from 0.64 for Algèbres ... to 0.79 for Modular fu ...)

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 matematico e accademico francese

Jean-Pierre Serre matematyk francuski

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

جان-بيير سير

جان-پیری سیری

ژان پیر سر ریاضی‌دان فرانسوی

장피에르 세르


セール, J.-P.

セール, ジャンーピエール


Galois cohomologyLie algebras and Lie groups; 1964 lectures given at Harvard UniversityAlgebraic groups and class fields : translation of the French editionA course in arithmeticAlgèbre locale, multiplicités; cours au Collège de France, 1957-1958Local fieldsAlgèbres de Lie semi-simples complexesTrees