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Formal Power Series and Algebraic Combinatorics
This book contains the extended abstracts presented at the 12th International Conference on Power Series and Algebraic Combinatorics (FPSAC '00) that took place at Moscow State University, June 26-30, 2000. These proceedings cover the most recent trends in algebraic and bijective combinatorics, including classical combinatorics, combinatorial computer algebra, combinatorial identities, combinatorics of classical groups, Lie algebra and quantum groups, enumeration, symmetric functions, young tableaux etc...
Arithmetic Geometry: Computation and Applications
For thirty years, the biennial international conference AGC T (Arithmetic, Geometry, Cryptography, and Coding Theory) has brought researchers to Marseille to build connections between arithmetic geometry and its applications, originally highlighting coding theory but more recently including cryptography and other areas as well. This volume contains the proceedings of the 16th international conference, held from June 19–23, 2017. The papers are original research articles covering a large range of topics, including weight enumerators for codes, function field analogs of the Brauer–Siegel theorem, the computation of cohomological invariants of curves, the trace distributions of algebraic groups, and applications of the computation of zeta functions of curves. Despite the varied topics, the papers share a common thread: the beautiful interplay between abstract theory and explicit results.
Applications of Group Theory to Combinatorics
Applications of Group Theory to Combinatorics contains 11 survey papers from international experts in combinatorics, group theory and combinatorial topology. The contributions cover topics from quite a diverse spectrum, such as design theory, Belyi functions, group theory, transitive graphs, regular maps, and Hurwitz problems, and present the state
Inverse Galois Theory
A consistent and near complete survey of the important progress made in the field over the last few years, with the main emphasis on the rigidity method and its applications. Among others, this monograph presents the most successful existence theorems known and construction methods for Galois extensions as well as solutions for embedding problems combined with a collection of the existing Galois realizations.
Graphs on Surfaces and Their Applications
Graphs drawn on two-dimensional surfaces have always attracted researchers by their beauty and by the variety of difficult questions to which they give rise. The theory of such embedded graphs, which long seemed rather isolated, has witnessed the appearance of entirely unexpected new applications in recent decades, ranging from Galois theory to quantum gravity models, and has become a kind of a focus of a vast field of research. The book provides an accessible introduction to this new domain, including such topics as coverings of Riemann surfaces, the Galois group action on embedded graphs (Grothendieck's theory of "dessins d'enfants"), the matrix integral method, moduli spaces of curves, the topology of meromorphic functions, and combinatorial aspects of Vassiliev's knot invariants and, in an appendix by Don Zagier, the use of finite group representation theory. The presentation is concrete throughout, with numerous figures, examples (including computer calculations) and exercises, and should appeal to both graduate students and researchers.
Davenport–Zannier Polynomials and Dessins d’Enfants
The French expression “dessins d'enfants” means children's drawings. This term was coined by the great French mathematician Alexandre Grothendieck in order to denominate a method of pictorial representation of some highly interesting classes of polynomials and rational functions. The polynomials studied in this book take their origin in number theory. The authors show how, by drawing simple pictures, one can prove some long-standing conjectures and formulate new ones. The theory presented here touches upon many different fields of mathematics. The major part of the book is quite elementary and is easily accessible to an undergraduate student. The less elementary parts, such as Galois theory or group representations and their characters, would need a more profound knowledge of mathematics. The reader may either take the basic facts of these theories for granted or use our book as a motivation and a first approach to these subjects.
Early Cinema in Russia and its Cultural Reception
This book examines the development of cinematic form and culture in Russia, from its late nineteenth-century beginnings as a fairground attraction to the early post-Revolutionary years. The author traces the changing perceptions of cinema and its social transition from a modernist invention to a national art form. He explores reactions to the earliest films from actors, novelists, poets, writers and journalists. His richly detailed study of the physical elements of cinematic performance includes the architecture and illumination of the cinema foyer, the speed of projection and film acoustics. In contrast to standard film histories, this book focuses on reflected images: rather than discussing films and film-makers, it features the historical film-goer and early writings on film. The book presents a vivid and changing picture of cinema culture in Russia in the twilight of the tsarist era and the first decades of the twentieth century. The study expands the whole context of reception studies and opens up questions about reception relevant to other national cinemas.
China and Japan in the Russian Imagination, 1685-1922
Throughout the centuries, as Russia strove to build itself into an imperial power equal to those in the West, China and Japan came to occupy a special place in Russians’ view of the orient. Never colonised by Russia or the West, China and Japan were linked not only to the greatest of Russian imperial fantasies, but also, conversely, to a deep sense of insecurity regarding Russia’s place in the world, a sense of insecurity which deepened as China and Japan began to modernise in the later nineteenth century. Drawing on a wide range of works by Russian writers and thinkers, Lim sets out how Russian perceptions of China and Japan were formed from Muscovy’s first contacts with China in the late seventeenth century, through to the aftermath of Russia’s defeat by Japan in the early twentieth century.
Dostoevskii’s Overcoat: Influence, Comparison, and Transposition.
One of the most famous quotations in the history of Russian literature is Fedor Dostoevskii’s alleged assertion that ‘We have all come out from underneath Gogol’s Overcoat’. Even if Dostoevskii never said this, there is a great deal of truth in the comment. Gogol certainly was a profound influence on his work, as were many others. Part of this book’s project is to locate Dostoevskii in relationship to his predecessors and contemporaries. However, the primary aim is to turn the oft-quoted apocryphal comment on its head, to see the profound influence Dostoevskii had on the lives, work and thought of his contemporaries and successors. This influence extends far beyond Russia and beyond literature. Dostoevskii may be seen as the single greatest influence on the sensibilities of the twentieth and twenty-first centuries. To a greater or lesser extent those concerned with the creative arts in the twentieth and twenty-first centuries have all come out from under Dostoevskii’s ‘Overcoat’.
Complex Dynamics
Chaotic behavior of (even the simplest) iterations of polynomial maps of the complex plane was known for almost one hundred years due to the pioneering work of Farou, Julia, and their contemporaries. However, it was only twenty-five years ago that the first computer generated images illustrating properties of iterations of quadratic maps appeared. These images of the so-called Mandelbrot and Julia sets immediately resulted in a strong resurgence of interest in complex dynamics. The present volume, based on the talks at the conference commemorating the twenty-fifth anniversary of the appearance of Mandelbrot sets, provides a panorama of current research in this truly fascinating area of mathematics.
