Download or read book Non abelian Fundamental Groups and Iwasawa Theory written by John Coates and published by Cambridge University Press. This book was released on 2011-12-15 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes the interaction between several key aspects of Galois theory based on Iwasawa theory, fundamental groups and automorphic forms. These ideas encompass a large portion of mainstream number theory and ramifications that are of interest to graduate students and researchers in number theory, algebraic geometry, topology and physics.
Download or read book Non abelian Fundamental Groups and Iwasawa Theory written by John Coates and published by . This book was released on 2011 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: Displays the intricate interplay between different foundations of non-commutative number theory.
Download or read book Elliptic Curves Modular Forms and Iwasawa Theory written by David Loeffler and published by Springer. This book was released on 2017-01-15 with total page 494 pages. Available in PDF, EPUB and Kindle. Book excerpt: Celebrating one of the leading figures in contemporary number theory – John H. Coates – on the occasion of his 70th birthday, this collection of contributions covers a range of topics in number theory, concentrating on the arithmetic of elliptic curves, modular forms, and Galois representations. Several of the contributions in this volume were presented at the conference Elliptic Curves, Modular Forms and Iwasawa Theory, held in honour of the 70th birthday of John Coates in Cambridge, March 25-27, 2015. The main unifying theme is Iwasawa theory, a field that John Coates himself has done much to create. This collection is indispensable reading for researchers in Iwasawa theory, and is interesting and valuable for those in many related fields.
Download or read book C Algebraic Geometry with Corners written by Kelli Francis-Staite and published by Cambridge University Press. This book was released on 2023-12-31 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt: Crossing the boundary between differential and algebraic geometry in order to study singular spaces, this book introduces 'C∞-schemes with corners'.
Download or read book Groups Graphs and Random Walks written by Tullio Ceccherini-Silberstein and published by Cambridge University Press. This book was released on 2017-06-29 with total page 539 pages. Available in PDF, EPUB and Kindle. Book excerpt: An up-to-date, panoramic account of the theory of random walks on groups and graphs, outlining connections with various mathematical fields.
Download or read book Analytic Semigroups and Semilinear Initial Boundary Value Problems written by Kazuaki Taira and published by Cambridge University Press. This book was released on 2016-04-28 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: A careful and accessible exposition of a functional analytic approach to initial boundary value problems for semilinear parabolic differential equations, with a focus on the relationship between analytic semigroups and initial boundary value problems. This semigroup approach is distinguished by the extensive use of the ideas and techniques characteristic of the recent developments in the theory of pseudo-differential operators, one of the most influential works in the modern history of analysis. Complete with ample illustrations and additional references, this new edition offers both streamlined analysis and better coverage of important examples and applications. A powerful method for the study of elliptic boundary value problems, capable of further extensive development, is provided for advanced undergraduates or beginning graduate students, as well as mathematicians with an interest in functional analysis and partial differential equations.
Download or read book Topics in Graph Automorphisms and Reconstruction written by Josef Lauri and published by Cambridge University Press. This book was released on 2016-06-02 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt: An in-depth coverage of selected areas of graph theory focusing on symmetry properties of graphs, ideal for beginners and specialists.
Download or read book O Minimality and Diophantine Geometry written by G. O. Jones and published by Cambridge University Press. This book was released on 2015-08-20 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of articles, originating from a short course held at the University of Manchester, explores the ideas behind Pila's proof of the Andre–Oort conjecture for products of modular curves. The basic strategy has three main ingredients: the Pila–Wilkie theorem, bounds on Galois orbits, and functional transcendence results. All of these topics are covered in this volume, making it ideal for researchers wishing to keep up to date with the latest developments in the field. Original papers are combined with background articles in both the number theoretic and model theoretic aspects of the subject. These include Martin Orr's survey of abelian varieties, Christopher Daw's introduction to Shimura varieties, and Jacob Tsimerman's proof via o-minimality of Ax's theorem on the functional case of Schanuel's conjecture.
Download or read book Surveys in Combinatorics 2015 written by Artur Czumaj and published by Cambridge University Press. This book was released on 2015-07-02 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains surveys of recent important developments in combinatorics covering a wide range of areas in the field.
Download or read book Regular and Irregular Holonomic D Modules written by Masaki Kashiwara and published by Cambridge University Press. This book was released on 2016-05-26 with total page 119 pages. Available in PDF, EPUB and Kindle. Book excerpt: A unified treatment of the Riemann-Hilbert correspondence for (not necessarily regular) holonomic D-modules using indsheaves.
Download or read book The Calabi Problem for Fano Threefolds written by Carolina Araujo and published by Cambridge University Press. This book was released on 2023-06-30 with total page 451 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book determines whether the general element of each family of Fano threefolds is K-polystable, a major problem in mathematics.
Download or read book Surveys in Combinatorics 2022 written by Anthony Nixon and published by Cambridge University Press. This book was released on 2022-06-09 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains eight survey articles by the invited speakers of the 29th British Combinatorial Conference, held at Lancaster University in July 2022. Each article provides an overview of recent developments in a current hot research topic in combinatorics. These topics span graphs and hypergraphs, Latin squares, linear programming, finite fields, extremal combinatorics, Ramsey theory, graph minors and tropical geometry. The authors are among the world's foremost researchers on their respective topics but their surveys are aimed at nonspecialist readers: they are written clearly with little prior knowledge assumed and with pointers to the wider literature. Taken together these surveys give a snapshot of the research frontier in contemporary combinatorics, making the latest developments accessible to researchers and graduate students in mathematics and theoretical computer science with an interest in combinatorics and helping them to keep abreast of the field.
Download or read book Arithmetic and Geometry written by Luis Dieulefait and published by Cambridge University Press. This book was released on 2015-10-08 with total page 539 pages. Available in PDF, EPUB and Kindle. Book excerpt: The world's leading authorities describe the state of the art in Serre's conjecture and rational points on algebraic varieties.
Download or read book Geometry in a Fr chet Context written by C. T. J. Dodson and published by Cambridge University Press. This book was released on 2016 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt: A new approach to studying Fréchet geometry using projective limits of geometrical objects modelled on Banach spaces.
Download or read book Inequalities for Graph Eigenvalues written by Zoran Stanić and published by Cambridge University Press. This book was released on 2015-07-23 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written for mathematicians working with the theory of graph spectra, this book explores more than 400 inequalities for eigenvalues of the six matrices associated with finite simple graphs: the adjacency matrix, Laplacian matrix, signless Laplacian matrix, normalized Laplacian matrix, Seidel matrix, and distance matrix. The book begins with a brief survey of the main results and selected applications to related topics, including chemistry, physics, biology, computer science, and control theory. The author then proceeds to detail proofs, discussions, comparisons, examples, and exercises. Each chapter ends with a brief survey of further results. The author also points to open problems and gives ideas for further reading.
Download or read book Sheaves and Functions Modulo p written by Lenny Taelman and published by Cambridge University Press. This book was released on 2016 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: Describes how to use coherent sheaves and cohomology to prove combinatorial and number theoretical identities over finite fields.
Download or read book Stacks Project Expository Collection SPEC written by Pieter Belmans and published by Cambridge University Press. This book was released on 2022-10-31 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: A collection of expository articles on modern topics in algebraic geometry, focusing on the geometry of algebraic spaces and stacks.
