Lectures On K Hler Groups
Download Lectures On K Hler Groups PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Lectures On K Hler Groups book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages.
Arithmetic Groups and Their Generalizations
In one guise or another, many mathematicians are familiar with certain arithmetic groups, such as $\mathbf{Z}$ or $\textrm{SL}(n, \mathbf{Z})$. Yet, many applications of arithmetic groups and many connections to other subjects within mathematics are less well known. Indeed, arithmetic groups admit many natural and important generalizations. The purpose of this expository book is to explain, through some brief and informal comments and extensive references, what arithmetic groups and their generalizations are, why they are important to study, and how they can be understood and applied to many fields, such as analysis, geometry, topology, number theory, representation theory, and algebraic geometry. It is hoped that such an overview will shed a light on the important role played by arithmetic groups in modern mathematics. Titles in this series are co-published with International Press, Cambridge, MA.Table of Contents: Introduction; General comments on references; Examples of basic arithmetic groups; General arithmetic subgroups and locally symmetric spaces; Discrete subgroups of Lie groups and arithmeticity of lattices in Lie groups; Different completions of $\mathbb{Q}$ and $S$-arithmetic groups over number fields; Global fields and $S$-arithmetic groups over function fields; Finiteness properties of arithmetic and $S$-arithmetic groups; Symmetric spaces, Bruhat-Tits buildings and their arithmetic quotients; Compactifications of locally symmetric spaces; Rigidity of locally symmetric spaces; Automorphic forms and automorphic representations for general arithmetic groups; Cohomology of arithmetic groups; $K$-groups of rings of integers and $K$-groups of group rings; Locally homogeneous manifolds and period domains; Non-cofinite discrete groups, geometrically finite groups; Large scale geometry of discrete groups; Tree lattices; Hyperbolic groups; Mapping class groups and outer automorphism groups of free groups; Outer automorphism group of free groups and the outer spaces; References; Index. Review from Mathematical Reviews: ...the author deserves credit for having done the tremendous job of encompassing every aspect of arithmetic groups visible in today's mathematics in a systematic manner; the book should be an important guide for some time to come.(AMSIP/43.
Non-abelian Fundamental Groups and Iwasawa Theory
Author: John Coates
language: en
Publisher: Cambridge University Press
Release Date: 2011-12-15
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.
Human Factors Engineering and Ergonomics
Although still true to its original focus on the person–machine interface, the field of human factors psychology (ergonomics) has expanded to include stress research, accident analysis and prevention, and nonlinear dynamical systems theory (how systems change over time), human group dynamics, and environmental psychology. Reflecting new developments in the field, Human Factors Engineering and Ergonomics: A Systems Approach, Second Edition addresses a wide range of human factors and ergonomics principles found in conventional and twenty-first century technologies and environments. Based on the author’s thirty years of experience, the text emphasizes fundamental concepts, systems thinking, the changing nature of the person-machine interface, and the dynamics of systems as they change over time. See What’s New in the Second Edition: Developments in working memory, degrees of freedom in cognitive processes, subjective workload, decision-making, and situation awareness Updated information on cognitive workload and fatigue Additional principles for HFE, networks, multiple person-machine systems, and human-robot swarms Accident analysis and prevention includes resilience, new developments in safety climate, and an update to the inventory of accident prevention techniques and their relative effectiveness Problems in "big data" mining Psychomotor control and its relevance to human-robot systems Navigation in real-world environment Trust in automation and augmented cognition Computer technology permeates every aspect of the human–machine system, and has only become more ubiquitous since the previous edition. The systems are becoming more complex, so it should stand to reason that theories need to evolve to cope with the new sources of complexity. While many books cover traditional topics and theory, they to not focus on the practical problems students will face in the future. With broad coverage that ranges from physical ergonomics to cognitive aspects of human-machine interaction and includes dynamic approaches to system failure, this book increases the number of methods and analytical tools that are available for the human factors researcher.