Download or read book An Introduction to Galois Cohomology and its Applications written by Grégory Berhuy and published by Cambridge University Press. This book was released on 2010-09-09 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first detailed elementary introduction to Galois cohomology and its applications. The introductory section is self-contained and provides the basic results of the theory. Assuming only a minimal background in algebra, the main purpose of this book is to prepare graduate students and researchers for more advanced study.
Download or read book Central Simple Algebras and Galois Cohomology written by Philippe Gille and published by Cambridge University Press. This book was released on 2006-08-10 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first comprehensive, modern introduction to the theory of central simple algebras over arbitrary fields. Starting from the basics, it reaches such advanced results as the Merkurjev-Suslin theorem. This theorem is both the culmination of work initiated by Brauer, Noether, Hasse and Albert and the starting point of current research in motivic cohomology theory by Voevodsky, Suslin, Rost and others. Assuming only a solid background in algebra, but no homological algebra, the book covers the basic theory of central simple algebras, methods of Galois descent and Galois cohomology, Severi-Brauer varieties, residue maps and, finally, Milnor K-theory and K-cohomology. The last chapter rounds off the theory by presenting the results in positive characteristic, including the theorem of Bloch-Gabber-Kato. The book is suitable as a textbook for graduate students and as a reference for researchers working in algebra, algebraic geometry or K-theory.
Download or read book Central Simple Algebras and Galois Cohomology written by Philippe Gille and published by Cambridge University Press. This book was released on 2017-08-10 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first comprehensive, modern introduction to the theory of central simple algebras over arbitrary fields, this book starts from the basics and reaches such advanced results as the Merkurjev–Suslin theorem, a culmination of work initiated by Brauer, Noether, Hasse and Albert, and the starting point of current research in motivic cohomology theory by Voevodsky, Suslin, Rost and others. Assuming only a solid background in algebra, the text covers the basic theory of central simple algebras, methods of Galois descent and Galois cohomology, Severi–Brauer varieties, and techniques in Milnor K-theory and K-cohomology, leading to a full proof of the Merkurjev–Suslin theorem and its application to the characterization of reduced norms. The final chapter rounds off the theory by presenting the results in positive characteristic, including the theorems of Bloch–Gabber–Kato and Izhboldin. This second edition has been carefully revised and updated, and contains important additional topics.
Download or read book Local Cohomology and Its Applications written by Gennady Lybeznik and published by CRC Press. This book was released on 2001-10-18 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume collects presentations from the international workshop on local cohomology held in Guanajuato, Mexico, including expanded lecture notes of two minicourses on applications in equivariant topology and foundations of duality theory, and chapters on finiteness properties, D-modules, monomial ideals, combinatorial analysis, and related topics. Featuring selected papers from renowned experts around the world, Local Cohomology and Its Applications is a provocative reference for algebraists, topologists, and upper-level undergraduate and graduate students in these disciplines.
Download or read book Galois Cohomology written by Jean-Pierre Serre and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an updated English translation of Cohomologie Galoisienne, published more than thirty years ago as one of the very first versions of Lecture Notes in Mathematics. It includes a reproduction of an influential paper by R. Steinberg, together with some new material and an expanded bibliography.
Download or read book Galois Theory of p Extensions written by Helmut Koch and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: Helmut Koch's classic is now available in English. Competently translated by Franz Lemmermeyer, it introduces the theory of pro-p groups and their cohomology. The book contains a postscript on the recent development of the field written by H. Koch and F. Lemmermeyer, along with many additional recent references.
Download or read book Introduction of profinite groups and Galois cohomology written by Luis Ribes and published by . This book was released on 1970 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Galois Theory and Cohomology of Commutative Rings written by Stephen Urban Chase and published by American Mathematical Soc.. This book was released on 1969 with total page 87 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Algebraic Combinatorics and the Monster Group written by Alexander A. Ivanov and published by Cambridge University Press. This book was released on 2023-08-17 with total page 583 pages. Available in PDF, EPUB and Kindle. Book excerpt: The current state of knowledge on the Monster group, including Majorana theory, Vertex Operator Algebras, Moonshine and maximal subgroups.
Download or read book Mathematical Models in Contact Mechanics written by Mircea Sofonea and published by Cambridge University Press. This book was released on 2012-09-13 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text provides a complete introduction to the theory of variational inequalities with emphasis on contact mechanics. It covers existence, uniqueness and convergence results for variational inequalities, including the modelling and variational analysis of specific frictional contact problems with elastic, viscoelastic and viscoplastic materials. New models of contact are presented, including contact of piezoelectric materials. Particular attention is paid to the study of history-dependent quasivariational inequalities and to their applications in the study of contact problems with unilateral constraints. The book fully illustrates the cross-fertilisation between modelling and applications on the one hand and nonlinear mathematical analysis on the other. Indeed, the reader will gain an understanding of how new and nonstandard models in contact mechanics lead to new types of variational inequalities and, conversely, how abstract results concerning variational inequalities can be applied to prove the unique solvability of the corresponding contact problems.
Download or read book Dense Sphere Packings written by Thomas Callister Hales and published by Cambridge University Press. This book was released on 2012-09-06 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: The definitive account of the recent computer solution of the oldest problem in discrete geometry.
Download or read book Mathematical Aspects of Fluid Mechanics written by James C. Robinson and published by Cambridge University Press. This book was released on 2012-10-18 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: The rigorous mathematical theory of the equations of fluid dynamics has been a focus of intense activity in recent years. This volume is the product of a workshop held at the University of Warwick to consolidate, survey and further advance the subject. The Navier–Stokes equations feature prominently: the reader will find new results concerning feedback stabilisation, stretching and folding, and decay in norm of solutions to these fundamental equations of fluid motion. Other topics covered include new models for turbulent energy cascade, existence and uniqueness results for complex fluids and certain interesting solutions of the SQG equation. The result is an accessible collection of survey articles and more traditional research papers that will serve both as a helpful overview for graduate students new to the area and as a useful resource for more established researchers.
Download or read book Foundations of Computational Mathematics Budapest 2011 written by Society for the Foundation of Computational Mathematics and published by Cambridge University Press. This book was released on 2013 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: A diverse collection of articles by leading experts in computational mathematics, written to appeal to established researchers and non-experts.
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 Moduli Spaces written by Leticia Brambila and published by Cambridge University Press. This book was released on 2014-03-13 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: A graduate-level introduction to some of the important contemporary ideas and problems in the theory of moduli spaces.
Download or read book Topological Methods in Group Theory written by N. Broaddus and published by Cambridge University Press. This book was released on 2018-09-06 with total page 211 pages. Available in PDF, EPUB and Kindle. Book excerpt: Details some of the most recent developments at the interface of topology and geometric group theory. Ideal for graduate students.
Download or read book Partial Differential Equations arising from Physics and Geometry written by Mohamed Ben Ayed and published by Cambridge University Press. This book was released on 2019-05-02 with total page 471 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents the state of the art in PDEs, including the latest research and short courses accessible to graduate students.
