Trees

Trees PDF Author: Jean-Pierre Serre
Publisher: Springer Science & Business Media
ISBN: 3642618561
Category : Mathematics
Languages : en
Pages : 151

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Book Description
The seminal ideas of this book played a key role in the development of group theory since the 70s. Several generations of mathematicians learned geometric ideas in group theory from this book. In it, the author proves the fundamental theorem for the special cases of free groups and tree products before dealing with the proof of the general case. This new edition is ideal for graduate students and researchers in algebra, geometry and topology.

Trees

Trees PDF Author: Jean-Pierre Serre
Publisher: Springer Science & Business Media
ISBN: 3642618561
Category : Mathematics
Languages : en
Pages : 151

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Book Description
The seminal ideas of this book played a key role in the development of group theory since the 70s. Several generations of mathematicians learned geometric ideas in group theory from this book. In it, the author proves the fundamental theorem for the special cases of free groups and tree products before dealing with the proof of the general case. This new edition is ideal for graduate students and researchers in algebra, geometry and topology.

The Governesses

The Governesses PDF Author: Anne Serre
Publisher: New Directions Publishing
ISBN: 0811228088
Category : Fiction
Languages : en
Pages : 76

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Book Description
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.

Linear Representations of Finite Groups

Linear Representations of Finite Groups PDF Author: Jean Pierre Serre
Publisher:
ISBN:
Category :
Languages : en
Pages : 170

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Book Description


Local Algebra

Local Algebra PDF Author: Jean-Pierre Serre
Publisher: Springer Science & Business Media
ISBN: 3662042037
Category : Mathematics
Languages : en
Pages : 139

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Book Description
This is an English translation of the now classic "Algbre Locale - Multiplicits" originally published by Springer as LNM 11. It gives a short account of the main theorems of commutative algebra, with emphasis on modules, homological methods and intersection multiplicities. Many modifications to the original French text have been made for this English edition, making the text easier to read, without changing its intended informal character.

Serre's Conjecture

Serre's Conjecture PDF Author: T.Y. Lam
Publisher: Springer
ISBN: 3540359265
Category : Mathematics
Languages : en
Pages : 240

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Book Description
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's Problem on Projective Modules

Serre's Problem on Projective Modules PDF Author: T.Y. Lam
Publisher: Springer Science & Business Media
ISBN: 3540345752
Category : Mathematics
Languages : en
Pages : 412

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Book Description
An invaluable summary of research work done in the period from 1978 to the present

The Beginners

The Beginners PDF Author: Anne Serre
Publisher: New Directions Publishing
ISBN: 0811230325
Category : Fiction
Languages : en
Pages : 122

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Book Description
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.

Local Fields

Local Fields PDF Author: Jean-Pierre Serre
Publisher: Springer Science & Business Media
ISBN: 1475756739
Category : Mathematics
Languages : en
Pages : 249

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Book Description
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.

Grothendieck-Serre Correspondence

Grothendieck-Serre Correspondence PDF Author: Pierre Colmez
Publisher: American Mathematical Society, Société Mathématique de France
ISBN: 1470469391
Category : Mathematics
Languages : en
Pages : 600

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Book Description
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, schemes, 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.

Galois Cohomology

Galois Cohomology PDF Author: Jean-Pierre Serre
Publisher: Springer Science & Business Media
ISBN: 3642591418
Category : Mathematics
Languages : en
Pages : 215

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Book Description
This is an updated English translation of Cohomologie Galoisienne, published more than thirty years ago as one of the very first versions of Lecture Notes in Mathematics. It includes a reproduction of an influential paper by R. Steinberg, together with some new material and an expanded bibliography.