Автор: Jason P. Bell, Dragos Ghioca, Thomas J. Tucker Название: The Dynamical Mordell-Lang Conjecture ISBN: 1470424088 ISBN-13(EAN): 9781470424084 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 107850.00 T Наличие на складе: Невозможна поставка. Описание: The Dynamical Mordell-Lang Conjecture is an analogue of the classical Mordell-Lang conjecture in the context of arithmetic dynamics. It predicts the behavior of the orbit of a point $x$ under the action of an endomorphism $f$ of a quasiprojective complex variety $X$. More precisely, it claims that for any point $x$ in $X$ and any subvariety $V$ of $X$, the set of indices $n$ such that the $n$-th iterate of $x$ under $f$ lies in $V$ is a finite union of arithmetic progressions. In this book the authors present all known results about the Dynamical Mordell-Lang Conjecture, focusing mainly on a $p$-adic approach which provides a parametrization of the orbit of a point under an endomorphism of a variety.
Автор: Stein Elias, Mather John N., Griffiths Phillip Название: Weil`s Conjecture for Function Fields: Volume I (Ams-198) ISBN: 0691182140 ISBN-13(EAN): 9780691182148 Издательство: Wiley Рейтинг: Цена: 79200.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
A central concern of number theory is the study of local-to-global principles, which describe the behavior of a global field K in terms of the behavior of various completions of K. This book looks at a specific example of a local-to-global principle: Weil's conjecture on the Tamagawa number of a semisimple algebraic group G over K. In the case where K is the function field of an algebraic curve X, this conjecture counts the number of G-bundles on X (global information) in terms of the reduction of G at the points of X (local information). The goal of this book is to give a conceptual proof of Weil's conjecture, based on the geometry of the moduli stack of G-bundles. Inspired by ideas from algebraic topology, it introduces a theory of factorization homology in the setting ℓ-adic sheaves. Using this theory, Dennis Gaitsgory and Jacob Lurie articulate a different local-to-global principle: a product formula that expresses the cohomology of the moduli stack of G-bundles (a global object) as a tensor product of local factors.
Using a version of the Grothendieck-Lefschetz trace formula, Gaitsgory and Lurie show that this product formula implies Weil's conjecture. The proof of the product formula will appear in a sequel volume.
Автор: Bushnell, Colin J. Henniart, Guy Название: Local langlands conjecture for gl(2) ISBN: 3642068537 ISBN-13(EAN): 9783642068539 Издательство: Springer Рейтинг: Цена: 83850.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The Local Langlands Conjecture for GL(2) contributes an unprecedented text to the so-called Langlands theory. It presupposes no special knowledge beyond the beginnings of the representation theory of finite groups and the structure theory of local fields.
Автор: Coates Название: The Bloch–Kato Conjecture for the Riemann Zeta Function ISBN: 1107492963 ISBN-13(EAN): 9781107492967 Издательство: Cambridge Academ Рейтинг: Цена: 60190.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: An account of a significant body of recent work that resolves some long-standing mysteries concerning special values of the Riemann zeta function. It brings together many important results from K-theory, motivic cohomology, and Iwasawa theory, accessible at graduate level and above.
Автор: David Kohel, Igor Shparlinski Название: Frobenius Distributions: Lang-Trotter and Sato-Tate Conjectures ISBN: 1470419475 ISBN-13(EAN): 9781470419479 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 108110.00 T Наличие на складе: Невозможна поставка. Описание: Contains the proceedings of the Winter School and Workshop on Frobenius Distributions on Curves, held in February 2014. This volume gives a representative sample of current research and developments in the rapidly developing areas of Frobenius distributions. This is mostly driven by two famous conjectures: the Sato-Tate conjecture and the Lang-Trotter conjecture.
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 Рейтинг: Цена: 65470.00 T Наличие на складе: Есть у поставщика Поставка под заказ. 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.
Автор: Kenney Margaret J. Название: Number Treasury 3: Investigations, Facts and Conjectures abo ISBN: 9814603694 ISBN-13(EAN): 9789814603690 Издательство: World Scientific Publishing Рейтинг: Цена: 33790.00 T Наличие на складе: Есть у поставщика Поставка под заказ. 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.
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 Рейтинг: Цена: 102480.00 T Наличие на складе: Есть у поставщика Поставка под заказ. 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.
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