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| serre: Trees Jean-Pierre Serre, 2013-03-07 From the reviews: Serre's notes on groups acting on trees have appeared in various forms (all in French) over the past ten years and they have had a profound influence on the development of many areas, for example, the theory of ends of discrete groups. This fine translation is very welcome and I strongly recommend it as an introduction to an important subject. In Chapter I, which is self-contained, the pace is fairly gentle. The author proves the fundamental theorem for the special cases of free groups and tree products before dealing with the (rather difficult) proof of the general case. (A.W. Mason in Proceedings of the Edinburgh Mathematical Society 1982) |
| serre: The Governesses Anne Serre, 2018-10-30 Publishers Weekly Best Books in Fiction 2018 The sensational US debut of a major French writer—an intense, delicious meringue of a novella In a large country house shut off from the world by a gated garden, three young governesses responsible for the education of a group of little boys are preparing a party. The governesses, however, seem to spend more time running around in a state of frenzied desire than attending to the children’s education. One of their main activities is lying in wait for any passing stranger, and then throwing themselves on him like drunken Maenads. The rest of the time they drift about in a kind of sated, melancholy calm, spied upon by an old man in the house opposite, who watches their goings-on through a telescope. As they hang paper lanterns and prepare for the ball in their own honor, and in honor of the little boys rolling hoops on the lawn, much is mysterious: one reviewer wrote of the book’s “deceptively simple words and phrasing, the transparency of which works like a mirror reflecting back on the reader.” Written with the elegance of old French fables, the dark sensuality of Djuna Barnes and the subtle comedy of Robert Walser, this semi-deranged erotic fairy tale introduces American readers to the marvelous Anne Serre. |
| serre: The Beginners Anne Serre, 2021-07-05 Quintessential Anne Serre—this restless, prowling novel explores love as a form of greed, and confused need as one shape of bereftness Anna has been living happily for twenty years with loving, sturdy, outgoing Guillaume when she suddenly (truly at first sight) falls in love with Thomas. Intelligent and handsome, but apparently scarred by a terrible early emotional wound, he reminds Anna of Jude the Obscure. Adrift and lovelorn, she tries unsuccessfully to fend off her attraction, torn between the two men. “How strange it is to leave someone you love for someone you love. You cross a footbridge that has no name, that’s not named in any poem. No, nowhere is a name given to this bridge, and that is why Anna found it so difficult to cross.” Anne Serre offers here, in her third book in English, her most direct novel to date. The Beginners is unpredictable, sensual, exhilarating, oddly moral, perverse, absurd—and unforgettable. |
| serre: Linear Representations of Finite Groups Jean Pierre Serre, 1996 |
| serre: Serre's Problem on Projective Modules T.Y. Lam, 2006-05-05 An invaluable summary of research work done in the period from 1978 to the present |
| serre: Local Algebra Jean-Pierre Serre, 2012-12-06 The present book is an English translation of Algebre Locale - Multiplicites published by Springer-Verlag as no. 11 of the Lecture Notes series. The original text was based on a set of lectures, given at the College de France in 1957-1958, and written up by Pierre Gabriel. Its aim was to give a short account of Commutative Algebra, with emphasis on the following topics: a) Modules (as opposed to Rings, which were thought to be the only subject of Commutative Algebra, before the emergence of sheaf theory in the 1950s); b) H omological methods, a la Cartan-Eilenberg; c) Intersection multiplicities, viewed as Euler-Poincare characteristics. The English translation, done with great care by Chee Whye Chin, differs from the original in the following aspects: - The terminology has been brought up to date (e.g. cohomological dimension has been replaced by the now customary depth). I have rewritten a few proofs and clarified (or so I hope) a few more. - A section on graded algebras has been added (App. III to Chap. IV). - New references have been given, especially to other books on Commu- tive Algebra: Bourbaki (whose Chap. X has now appeared, after a 40-year wait) , Eisenbud, Matsumura, Roberts, .... I hope that these changes will make the text easier to read, without changing its informal Lecture Notes character. |
| serre: Serre's Conjecture T.Y. Lam, 2006-11-15 From the Preface: I felt it would be useful for graduate students to see a detailed account of the sequence of mathematical developments which was inspired by the Conjecture, and which ultimately led to its full solution.... I offered a course on Serre's Conjecture to a small group of graduate students in January, 1977 [at the University of California, Berkeley] one year after its solution by Quillen and Suslin. My course was taught very much in the spirit of a mathematical 'guided tour'. Volunteering as the guide, I took upon myself the task of charting a route through all the beautiful mathematics surrounding the main problem to be treated; the 'guide' then leads his audience through the route, on to the destination, pointing out the beautiful sceneries and historical landmarks along the way. |
| serre: Serre's Problem on Projective Modules T.Y. Lam, 2010-05-17 “Serre’s Conjecture”, for the most part of the second half of the 20th century, - ferred to the famous statement made by J. -P. Serre in 1955, to the effect that one did not know if ?nitely generated projective modules were free over a polynomial ring k[x ,. . . ,x], where k is a ?eld. This statement was motivated by the fact that 1 n the af?ne scheme de?ned by k[x ,. . . ,x] is the algebro-geometric analogue of 1 n the af?ne n-space over k. In topology, the n-space is contractible, so there are only trivial bundles over it. Would the analogue of the latter also hold for the n-space in algebraic geometry? Since algebraic vector bundles over Speck[x ,. . . ,x] corre- 1 n spond to ?nitely generated projective modules over k[x ,. . . ,x], the question was 1 n tantamount to whether such projective modules were free, for any base ?eld k. ItwasquiteclearthatSerreintendedhisstatementasanopenproblemintheshe- theoretic framework of algebraic geometry, which was just beginning to emerge in the mid-1950s. Nowhere in his published writings had Serre speculated, one way or another, upon the possible outcome of his problem. However, almost from the start, a surmised positive answer to Serre’s problem became known to the world as “Serre’s Conjecture”. Somewhat later, interest in this “Conjecture” was further heightened by the advent of two new (and closely related) subjects in mathematics: homological algebra, and algebraic K-theory. |
| serre: Abelian l-Adic Representations and Elliptic Curves Jean-Pierre Serre, 1997-11-15 This classic book contains an introduction to systems of l-adic representations, a topic of great importance in number theory and algebraic geometry, as reflected by the spectacular recent developments on the Taniyama-Weil conjecture and Fermat's Last Theorem. The initial chapters are devoted to the Abelian case (complex multiplication), where one |
| serre: A Course in Arithmetic J-P. Serre, 2012-12-06 This book is divided into two parts. The first one is purely algebraic. Its objective is the classification of quadratic forms over the field of rational numbers (Hasse-Minkowski theorem). It is achieved in Chapter IV. The first three chapters contain some preliminaries: quadratic reciprocity law, p-adic fields, Hilbert symbols. Chapter V applies the preceding results to integral quadratic forms of discriminant ± I. These forms occur in various questions: modular functions, differential topology, finite groups. The second part (Chapters VI and VII) uses analytic methods (holomor phic functions). Chapter VI gives the proof of the theorem on arithmetic progressions due to Dirichlet; this theorem is used at a critical point in the first part (Chapter Ill, no. 2.2). Chapter VII deals with modular forms, and in particular, with theta functions. Some of the quadratic forms of Chapter V reappear here. The two parts correspond to lectures given in 1962 and 1964 to second year students atthe Ecole Normale Superieure. A redaction of these lectures in the form of duplicated notes, was made by J.-J. Sansuc (Chapters I-IV) and J.-P. Ramis and G. Ruget (Chapters VI-VII). They were very useful to me; I extend here my gratitude to their authors. |
| serre: Grothendieck-Serre Correspondence Alexandre Grothendieck, Pierre Colmez, 2004 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. |
| serre: Local Fields Jean-Pierre Serre, 1995-07-27 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. |
| serre: Lie Algebras and Lie Groups Jean-Pierre Serre, 2009-02-07 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. |
| serre: Galois Cohomology Jean-Pierre Serre, 2013-12-01 This volume is an English translation of Cohomologie Galoisienne . The original edition (Springer LN5, 1964) was based on the notes, written with the help of Michel Raynaud, of a course I gave at the College de France in 1962-1963. In the present edition there are numerous additions and one suppression: Verdier's text on the duality of profinite groups. The most important addition is the photographic reproduction of R. Steinberg's Regular elements of semisimple algebraic groups, Publ. Math. LH.E.S., 1965. I am very grateful to him, and to LH.E.S., for having authorized this reproduction. Other additions include: - A proof of the Golod-Shafarevich inequality (Chap. I, App. 2). - The resume de cours of my 1991-1992 lectures at the College de France on Galois cohomology of k(T) (Chap. II, App.). - The resume de cours of my 1990-1991 lectures at the College de France on Galois cohomology of semisimple groups, and its relation with abelian cohomology, especially in dimension 3 (Chap. III, App. 2). The bibliography has been extended, open questions have been updated (as far as possible) and several exercises have been added. In order to facilitate references, the numbering of propositions, lemmas and theorems has been kept as in the original 1964 text. Jean-Pierre Serre Harvard, Fall 1996 Table of Contents Foreword ........................................................ V Chapter I. Cohomology of profinite groups §1. Profinite groups . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 . . . . . . . . . . . . . . |
| serre: Algebraic Methods in Unstable Homotopy Theory Joseph Neisendorfer, 2010-02-18 The most modern and thorough treatment of unstable homotopy theory available. The focus is on those methods from algebraic topology which are needed in the presentation of results, proven by Cohen, Moore, and the author, on the exponents of homotopy groups. The author introduces various aspects of unstable homotopy theory, including: homotopy groups with coefficients; localization and completion; the Hopf invariants of Hilton, James, and Toda; Samelson products; homotopy Bockstein spectral sequences; graded Lie algebras; differential homological algebra; and the exponent theorems concerning the homotopy groups of spheres and Moore spaces. This book is suitable for a course in unstable homotopy theory, following a first course in homotopy theory. It is also a valuable reference for both experts and graduate students wishing to enter the field. |
| serre: Introduction to Modular Forms Serge Lang, 2012-12-06 From the reviews: This book gives a thorough introduction to several theories that are fundamental to research on modular forms. Most of the material, despite its importance, had previously been unavailable in textbook form. Complete and readable proofs are given... In conclusion, this book is a welcome addition to the literature for the growing number of students and mathematicians in other fields who want to understand the recent developments in the theory of modular forms. #Mathematical Reviews# This book will certainly be indispensable to all those wishing to get an up-to-date initiation to the theory of modular forms. #Publicationes Mathematicae# |
| serre: Algebraic Groups and Class Fields Jean-Pierre Serre, 2012-12-06 Translation of the French Edition |
| serre: United States Board on Geographic Names: Gazetteer United States Board on Geographic Names, 1955 |
| serre: British Museum Catalogue of printed Books , 1896 |
| serre: Lectures on the Mordell-Weil Theorem Jean Pierre Serre, 2013-07-02 |
| serre: Complex Semisimple Lie Algebras Jean-Pierre Serre, 2013-03-14 These notes are a record of a course given in Algiers from lOth to 21st May, 1965. Their contents are as follows. The first two chapters are a summary, without proofs, of the general properties of nilpotent, solvable, and semisimple Lie algebras. These are well-known results, for which the reader can refer to, for example, Chapter I of Bourbaki or my Harvard notes. The theory of complex semisimple algebras occupies Chapters III and IV. The proofs of the main theorems are essentially complete; however, I have also found it useful to mention some complementary results without proof. These are indicated by an asterisk, and the proofs can be found in Bourbaki, Groupes et Algebres de Lie, Paris, Hermann, 1960-1975, Chapters IV-VIII. A final chapter shows, without proof, how to pass from Lie algebras to Lie groups (complex-and also compact). It is just an introduction, aimed at guiding the reader towards the topology of Lie groups and the theory of algebraic groups. I am happy to thank MM. Pierre Gigord and Daniel Lehmann, who wrote up a first draft of these notes, and also Mlle. Franr,:oise Pecha who was responsible for the typing of the manuscript. |
| serre: The Fool and Other Moral Tales Anne Serre, 2019-09-24 From the brilliant, sui generis Anne Serre—author of the celebrated Governesses—come three delicious, thoroughly out-of-the-way tales. Fairy-tale atmospheres and complex narratives are a hallmark of the fiction of Anne Serre, represented here by three radically heterodox novellas. The Fool “may have stepped out of a tarot pack: I came across this little figure rather late in life. Not being familiar with playing cards, still less with the tarot, I was a bit uncomfortable when I first set eyes on him. I believe in magic figures and distrust them…a figure observing you can turn the world upside down.” The Narrator concerns a sort of writer-hero: “Outcasts who can’t even tell a story are what you might call dropouts, lunatics, misfits. With them the narrator is in his element, but has one huge advantage: he can tell a story.” Little Table, Set Yourself!—a moral tale concerning a family happily polyamorous—is the most overtly a fable of these three works, and the briefest, but thin as a razor is thin. A dream logic rules each of these wildly unpredictable, sensual and surreal novellas: these may be romps, but nevertheless deeply moral and entirely unforgettable ones. |
| serre: France United States. Office of Geography, 1964 |
| serre: Transactions of the Illinois State Historical Society Illinois State Historical Society, 1913 |
| serre: Publications of the Illinois State Historical Library Illinois State Historical Library, 1913 |
| serre: Publications of the Illinois State Historical Library, Illinois State Historical Society Illinois State Historical Library, 1913 |
| serre: Transactions of the Illinois State Historical Society for the Year 1911 , 1913 |
| serre: Papers in Illinois History and Transactions Illinois State Historical Society, 1913 |
| serre: Publications Illinois State Historical Society, 1913 |
| serre: Occasional Publications (Illinois State Historical Society) Illinois State Historical Society, 1913 |
| serre: Transactions of the Illinois State Historical Society for the Year ... , 1913 |
| serre: Papers in Illinois History and Transactions for the Year ... , 1913 |
| serre: The Parasite , 1765 |
| serre: French Philosophy Today Christopher Watkin, 2016-05-03 No detailed description available for French Philosophy Today. |
| serre: Genesis Michel Serres, 1995 A lyrical, breathtaking exploration of the chaos and multiplicity that underlie imposed conventions of order |
| serre: The "Old Northwest" Genealogical Quarterly , 1901 |
| serre: In the Forests of Serre Patricia A. McKillip, 2015-10-29 Everyone in the kingdom of Serre avoids the Mother of All Witches, an ugly, powerful and dangerous woman who lives in the forest. When the Prince of Serre, blinded by grief at the death of his wife and their newborn, rides down the witch's white hen, he earns her curse. Prince Ronan believes nothing can be worse than what he has already experienced, but he soon discovers that he is wrong. The curse of the witch in the Forest of Serre has only begun to exert its baleful influence... |
| serre: Menomini Texts Leonard Bloomfield, 1928 |
| serre: Publications of the American Ethnological Society , 1928 |
| serre: Canadian National Records for Sheep Canadian national live stock records office, 1925 |
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