Graph Theory: Favorite Conjectures and Open Problems - 1, Gera Ralucca, Hedetniemi Stephen, Larson Craig

Автор: Valerio Capraro; Martino Lupini; Vladimir Pestov
Название: Introduction to Sofic and Hyperlinear Groups and Connes` Embedding Conjecture
ISBN: 3319193325 ISBN-13(EAN): 9783319193328
Издательство: Springer
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Цена: 32600.00 T
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Описание: This point of view, rarely explicitly adopted in the literature, clarifies the ideas therein, and provides additional tools to attack open problems.Sofic and hyperlinear groups are countable discrete groups that can be suitably approximated by finite symmetric groups and groups of unitary matrices.

Автор: Benjamin Fine, Anthony Gaglione, Alexei Myasnikov,
Название: The Elementary Theory of Groups: A Guide through the Proofs of the Tarski Conjectures
ISBN: 3110341999 ISBN-13(EAN): 9783110341997
Издательство: Walter de Gruyter
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Цена: 185890.00 T
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Описание: After being an open question for sixty years the Tarski conjecture was answered in the affirmative by Olga Kharlampovich and Alexei Myasnikov and independently by Zlil Sela. Both proofs involve long and complicated applications of algebraic geometry over free groups as well as an extension of methods to solve equations in free groups originally developed by Razborov. This book is an examination of the material on the general elementary theory of groups that is necessary to begin to understand the proofs. This material includes a complete exposition of the theory of fully residually free groups or limit groups as well a complete description of the algebraic geometry of free groups. Also included are introductory material on combinatorial and geometric group theory and first-order logic. There is then a short outline of the proof of the Tarski conjectures in the manner of Kharlampovich and Myasnikov.

Автор: David Kohel, Igor Shparlinski
Название: Frobenius Distributions: Lang-Trotter and Sato-Tate Conjectures
ISBN: 1470419475 ISBN-13(EAN): 9781470419479
Издательство: Mare Nostrum (Eurospan)
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Цена: 108110.00 T
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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: Coates
Название: The Bloch–Kato Conjecture for the Riemann Zeta Function
ISBN: 1107492963 ISBN-13(EAN): 9781107492967
Издательство: Cambridge Academ
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Цена: 60190.00 T
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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: Osamu Fujino
Название: Iitaka Conjecture
ISBN: 9811533466 ISBN-13(EAN): 9789811533464
Издательство: Springer
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Цена: 60550.00 T
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Описание: The Iitaka conjecture for fiber spaces whose base space is of general type is also proved as an easy application of Viehweg`s weak positivity theorem, and the Viehweg conjecture for fiber spaces whose general fibers are elliptic curves is explained.

Автор: Gerhard Frey
Название: On Artin`s Conjecture for Odd 2-dimensional Representations
ISBN: 3540583874 ISBN-13(EAN): 9783540583875
Издательство: Springer
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Цена: 32600.00 T
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Описание: The objective of this study is to develop efficient algorithms with which to verify Artin's conjecture for odd two-dimensional representations. It is hoped that the algorithms developed for this text can also be used to solve other problems related to modular forms.

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)
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Цена: 107850.00 T
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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: Franklin, James
Название: Science of conjecture
ISBN: 1421418800 ISBN-13(EAN): 9781421418803
Издательство: Неизвестно
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Цена: 46200.00 T
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Описание: The Science of Conjecture provides a history of rational methods of dealing with uncertainty and explores the coming to consciousness of the human understanding of risk.

Автор: Bart Bories, Willem Veys
Название: Igusa`s $p$-Adic Local Zeta Function and the Monodromy Conjecture for Non-Degenerate Surface Singularities
ISBN: 147041841X ISBN-13(EAN): 9781470418410
Издательство: Mare Nostrum (Eurospan)
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Цена: 84090.00 T
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Описание: In 2011 Lemahieu and Van Proeyen proved the Monodromy Conjecture for the local topological zeta function of a non-degenerate surface singularity. The authors start from their work and obtain the same result for Igusa`s $p$-adic and the motivic zeta function.

Автор: Bushnell, Colin J. Henniart, Guy
Название: Local langlands conjecture for gl(2)
ISBN: 3642068537 ISBN-13(EAN): 9783642068539
Издательство: Springer
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Цена: 83850.00 T
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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.