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Weil Conjectures, Perverse Sheaves and l`adic Fourier Transform, Reinhardt Kiehl; Rainer Weissauer


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Автор: Reinhardt Kiehl; Rainer Weissauer
Название:  Weil Conjectures, Perverse Sheaves and l`adic Fourier Transform
ISBN: 9783642074721
Издательство: Springer
Классификация: ISBN-10: 3642074723
Обложка/Формат: Paperback
Страницы: 375
Вес: 0.54 кг.
Дата издания: 19.10.2010
Серия: Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics
Язык: English
Размер: 234 x 156 x 20
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: In this book the authors describe the important generalization of the original Weil conjectures, as given by P. Deligne in his fundamental paper La conjecture de Weil II. The authors follow the important and beautiful methods of Laumon and Brylinski which lead to a simplification of Delignes theory. Delignes work is closely related to the sheaf theoretic theory of perverse sheaves. In this framework Delignes results on global weights and his notion of purity of complexes obtain a satisfactory and final form. Therefore the authors include the complete theory of middle perverse sheaves. In this part, the l-adic Fourier transform is introduced as a technique providing natural and simple proofs. To round things off, there are three chapters with significant applications of these theories.


Conjectures and refutations

Автор: Popper, Karl R.
Название: Conjectures and refutations
ISBN: 0415285941 ISBN-13(EAN): 9780415285940
Издательство: Taylor&Francis
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Цена: 3367.00 р.
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Описание: One of Karl Popper`s most wide-ranging and popular works, it provides the clearest statement of the fundamental idea that guided his work: that our knowledge grows by an unending process of trial and error.

Number Treasury3: Investigations, Facts and Conjectures about More Than 100 Number Families: 3rd Edition

Автор: Kenney Margaret J., Bezuszka Stanley J.
Название: Number Treasury3: Investigations, Facts and Conjectures about More Than 100 Number Families: 3rd Edition
ISBN: 9814603686 ISBN-13(EAN): 9789814603683
Издательство: World Scientific Publishing
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Цена: 9821.00 р.
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Описание: This resource volume is an enlargement as well as an update of the previous edition. The book aims to introduce the reader to over 100 different families of positive integers.

Chain Conjectures in Ring Theory

Автор: L.J. Jr. Ratliff
Название: Chain Conjectures in Ring Theory
ISBN: 3540087583 ISBN-13(EAN): 9783540087588
Издательство: Springer
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Цена: 3487.00 р.
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Noncommutative Iwasawa Main Conjectures over Totally Real Fields

Автор: John Coates; Peter Schneider; R. Sujatha; Otmar Ve
Название: Noncommutative Iwasawa Main Conjectures over Totally Real Fields
ISBN: 3642443354 ISBN-13(EAN): 9783642443350
Издательство: Springer
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Цена: 15372.00 р.
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Описание: The algebraic techniques developed by Kakde will almost certainly lead eventually to major progress in the study of congruences between automorphic forms and the main conjectures of non-commutative Iwasawa theory for many motives.

Approaching the kannan-lovasz-simonovits and variance conjectures

Автор: Alonso-gutierrez, David Bastero, Jesus
Название: Approaching the kannan-lovasz-simonovits and variance conjectures
ISBN: 3319132628 ISBN-13(EAN): 9783319132624
Издательство: Springer
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Цена: 4890.00 р.
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Описание: Focusing on two central conjectures of Asymptotic Geometric Analysis, the Kannan-Lovasz-Simonovits spectral gap conjecture and the variance conjecture, these Lecture Notes present the theory in an accessible way, so that interested readers, even those who are not experts in the field, will be able to appreciate the treated topics.

Number Treasury 3: Investigations, Facts and Conjectures abo

Автор: Kenney Margaret J.
Название: Number Treasury 3: Investigations, Facts and Conjectures abo
ISBN: 9814603694 ISBN-13(EAN): 9789814603690
Издательство: World Scientific Publishing
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Цена: 5069.00 р.
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Описание:

"This book is a great choice for teachers as well as students who are interested in either recreational mathematics or in studying interesting number patterns. The activities can easily be used in both middle and secondary mathematics classrooms as enrichment topics. They would also be appropriate for use in math clubs and to challenge advanced learners. I highly recommend this book for anyone who loves exploring interesting properties of numbers."

Mathematics Teaching in the Middle School

"It is indeed an extremely rare occasion when a book can be used as a reference through such a broad level of math classes. This one is an existence proof."

Mathematical Association of America

"I recommend this book as a resource for developing lessons that extend students' understanding of the properties and relationships of numbers. The investigations allow students to make conjectures and generalizations about numbers and act as mathematicians."

Mathematics Teacher

"Many of the provided activities would be suitable for the high-school classroom, and could give students the opportunity to explore certain aspects of mathematics with a degree of independence."

Mathematical Gazette

This resource volume is an enlargement as well as an update of the previous edition. The book aims to introduce the reader to over 100 different families of positive integers. A brief historical note accompanies the descriptions and examples of several of the families together with a mix of routine exercises and problems as well as some thought provokers to solve. Number Treasury3 especially aims to stimulate further study beyond the scope of the introductory treatment given in the book. The emphasis in Number Treasury3 is on doing not proving. However, the reader is directed to think critically about situations, to provide explanations, to make generalizations, and to formulate conjectures. To engage the reader from the start, the book begins with a set of rich Investigations. These are standalone activities that represent each of the chapters of the book.

Conjectures in Arithmetic Algebraic Geometry

Автор: Wilfred W. J. Hulsbergen
Название: Conjectures in Arithmetic Algebraic Geometry
ISBN: 3528064331 ISBN-13(EAN): 9783528064334
Издательство: Springer
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Цена: 7182.00 р.
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Описание: In this expository paper we sketch some interrelations between several famous conjectures in number theory and algebraic geometry that have intrigued mathematicians for a long period of time. Starting from Fermat's Last Theorem one is naturally led to intro- duce L-functions, the main motivation being the calculation of class numbers. In particular, Kummer showed that the class numbers of cyclotomic fields playa decisive role in the corroboration of Fermat's Last Theorem for a large class of exponents. Before Kummer, Dirich- let had already successfully applied his L-functions to the proof of the theorem on arithmetic progressions. Another prominent appearance of an L-function is Riemann's paper where the now famous Riemann Hypothesis was stated. In short, nineteenth century number theory showed that much, if not all, of number theory is reflected by proper- ties of L-functions. Twentieth century number theory, class field theory and algebraic geometry only strengthen the nineteenth century number theorists's view. We just mention the work of E. Heeke, E. Artin, A. Weil and A. Grothendieck with his collaborators. Heeke generalized Dirichlet's L-functions to obtain results on the distribution of primes in number fields. Artin introduced his L-functions as a non-abelian generaliza- tion of Dirichlet's L-functions with a generalization of class field the- ory to non-abelian Galois extensions of number fields in mind. Weil introduced his zeta-function for varieties over finite fields in relation to a problem in number theory.

Constellations and Conjectures

Автор: Willard C. Humphreys Jr.; N.R. Hanson
Название: Constellations and Conjectures
ISBN: 9401025002 ISBN-13(EAN): 9789401025003
Издательство: Springer
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Цена: 25149.00 р.
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Описание: Schematically, 1 Explanation: 0 -Lt, 2, 3-(e e e )`-AI t 2 3 01 Prediction: (e e e )I-L , 2, 3_ +.11 t 2 3 t Thus Mars` backward loop in late summer, 1956, is explained by showing how this follows from (e ) its mean distance from sun and earth, (e ) its t 2 mean period of revolution, (e ) its past positions relative to earth, etc.

Conjectures in Arithmetic Algebraic Geometry

Автор: Wilfred W. J. Hulsbergen
Название: Conjectures in Arithmetic Algebraic Geometry
ISBN: 366309507X ISBN-13(EAN): 9783663095071
Издательство: Springer
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Цена: 9141.00 р.
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Описание: In this expository text we sketch some interrelations between several famous conjectures in number theory and algebraic geometry that have intrigued math- ematicians for a long period of time. Starting from Fermat's Last Theorem one is naturally led to introduce L- functions, the main, motivation being the calculation of class numbers. In partic- ular, Kummer showed that the class numbers of cyclotomic fields play a decisive role in the corroboration of Fermat's Last Theorem for a large class of exponents. Before Kummer, Dirichlet had already successfully applied his L-functions to the proof of the theorem on arithmetic progressions. Another prominent appearance of an L-function is Riemann's paper where the now famous Riemann Hypothesis was stated. In short, nineteenth century number theory showed that much, if not all, of number theory is reflected by properties of L-functions. Twentieth century number theory, class field theory and algebraic geome- try only strengthen the nineteenth century number theorists's view. We just mention the work of E. H cke, E. Artin, A. Weil and A. Grothendieck with his collaborators. Heeke generalized Dirichlet's L-functions to obtain results on the distribution of primes in number fields. Artin introduced his L-functions as a non-abelian generalization of Dirichlet's L-functions with a generalization of class field theory to non-abelian Galois extensions of number fields in mind.

Latin american fiction and the narratives of the perverse

Автор: O`connor, Patrick
Название: Latin american fiction and the narratives of the perverse
ISBN: 1403966788 ISBN-13(EAN): 9781403966780
Издательство: Springer
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Цена: 12577.00 р.
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Описание: Latin American Fiction and the Narratives of the Perverse contains analysis of sexual perversion and narrative creativity in fictions from the Latin American boom and post-boom.

The Perverse Economy

Автор: Perelman
Название: The Perverse Economy
ISBN: 1403962715 ISBN-13(EAN): 9781403962713
Издательство: Springer
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Цена: 12577.00 р.
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Описание: The purpose of this book is to call for a wholesale rethinking of the way that markets treat both the labour and natural resources on which we all depend. From Adam Smith to the present day, economic theory has short-changed the workers most crucial to the functioning of human life and offered skewed views of scarcity and extraction.


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