An Invitation To Coarse Groups

Author : Arielle Leitner
Publisher : Springer Nature
ISBN 13 : 3031427602
Total Pages : 249 pages
Book Rating : 4.02/5 ( download)

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Download or read book An Invitation to Coarse Groups written by Arielle Leitner and published by Springer Nature. This book was released on 2024-01-13 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book lays the foundation for a theory of coarse groups: namely, sets with operations that satisfy the group axioms “up to uniformly bounded error”. These structures are the group objects in the category of coarse spaces, and arise naturally as approximate subgroups, or as coarse kernels. The first aim is to provide a standard entry-level introduction to coarse groups. Extra care has been taken to give a detailed, self-contained and accessible account of the theory. The second aim is to quickly bring the reader to the forefront of research. This is easily accomplished, as the subject is still young, and even basic questions remain unanswered. Reflecting its dual purpose, the book is divided into two parts. The first part covers the fundamentals of coarse groups and their actions. Here the theory of coarse homomorphisms, quotients and subgroups is developed, with proofs of coarse versions of the isomorphism theorems, and it is shown how coarse actions are related to fundamental aspects of geometric group theory. The second part, which is less self-contained, is an invitation to further research, where each thread leads to open questions of varying depth and difficulty. Among other topics, it explores coarse group structures on set-groups, groups of coarse automorphisms and spaces of controlled maps. The main focus is on connections between the theory of coarse groups and classical subjects, including: number theory; the study of bi-invariant metrics on groups; quasimorphisms and stable commutator length; groups of outer automorphisms; and topological groups and their actions. The book will primarily be of interest to researchers and graduate students in geometric group theory, topology, category theory and functional analysis, but some parts will also be accessible to advanced undergraduates.

Author : Joachim Kock
Publisher : Springer Science & Business Media
ISBN 13 : 0817644954
Total Pages : 162 pages
Book Rating : 4.56/5 ( download)

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Download or read book An Invitation to Quantum Cohomology written by Joachim Kock and published by Springer Science & Business Media. This book was released on 2007-12-27 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elementary introduction to stable maps and quantum cohomology presents the problem of counting rational plane curves Viewpoint is mostly that of enumerative geometry Emphasis is on examples, heuristic discussions, and simple applications to best convey the intuition behind the subject Ideal for self-study, for a mini-course in quantum cohomology, or as a special topics text in a standard course in intersection theory

Author : Steffen Gielen
Publisher : MDPI
ISBN 13 : 3039361783
Total Pages : 338 pages
Book Rating : 4.86/5 ( download)

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Download or read book Progress in Group Field Theory and Related Quantum Gravity Formalisms written by Steffen Gielen and published by MDPI. This book was released on 2020-07-01 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: Following the fundamental insights from quantum mechanics and general relativity, geometry itself should have a quantum description; the search for a complete understanding of this description is what drives the field of quantum gravity. Group field theory is an ambitious framework in which theories of quantum geometry are formulated, incorporating successful ideas from the fields of matrix models, ten-sor models, spin foam models and loop quantum gravity, as well as from the broader areas of quantum field theory and mathematical physics. This special issue collects recent work in group field theory and these related approaches, as well as other neighbouring fields (e.g., cosmology, quantum information and quantum foundations, statistical physics) to the extent that these are directly relevant to quantum gravity research.

Author : Christian Rosendal
Publisher : Cambridge University Press
ISBN 13 : 110884247X
Total Pages : 309 pages
Book Rating : 4.71/5 ( download)

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Download or read book Coarse Geometry of Topological Groups written by Christian Rosendal and published by Cambridge University Press. This book was released on 2021-12-16 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides a general framework for doing geometric group theory for non-locally-compact topological groups arising in mathematical practice.

Author : Dylan Thurston
Publisher : Princeton University Press
ISBN 13 : 0691185891
Total Pages : 472 pages
Book Rating : 4.97/5 ( download)

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Download or read book What's Next? written by Dylan Thurston and published by Princeton University Press. This book was released on 2020-07-07 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: William Thurston (1946–2012) was one of the great mathematicians of the twentieth century. He was a visionary whose extraordinary ideas revolutionized a broad range of areas of mathematics, from foliations, contact structures, and Teichmüller theory to automorphisms of surfaces, hyperbolic geometry, geometrization of 3-manifolds, geometric group theory, and rational maps. In addition, he discovered connections between disciplines that led to astonishing breakthroughs in mathematical understanding as well as the creation of entirely new fields. His far-reaching questions and conjectures led to enormous progress by other researchers. In What's Next?, many of today's leading mathematicians describe recent advances and future directions inspired by Thurston's transformative ideas. This book brings together papers delivered by his colleagues and former students at "What's Next? The Mathematical Legacy of Bill Thurston," a conference held in June 2014 at Cornell University. It discusses Thurston's fundamental contributions to topology, geometry, and dynamical systems and includes many deep and original contributions to the field. Incisive and wide-ranging, the book explores how he introduced new ways of thinking about and doing mathematics—innovations that have had a profound and lasting impact on the mathematical community as a whole—and also features two papers based on Thurston's unfinished work in dynamics.

Author : Eniko Hudak
Publisher : Oxbow Books
ISBN 13 :
Total Pages : 161 pages
Book Rating : 4.57/5 ( download)

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Download or read book Journal of Roman Pottery Studies Volume 20 written by Eniko Hudak and published by Oxbow Books. This book was released on 2024-01-15 with total page 161 pages. Available in PDF, EPUB and Kindle. Book excerpt: The latest issue of long running, highly regarded Journal, this issue focuses on new methodological approaches and initiatives alongside reports on new discoveries at major pottery production centres. The new volume of the long-running Journal of Roman Pottery Studies will include conference proceedings of the 2019 conference held at Atherstone, Warwickshire, and the 50th anniversary conference of the Study Group for Roman Pottery held online with Newcastle University. Papers reflect on recent advances in methodological approaches and their applications, the past and future role of the society and new initiatives in archiving policies and their implications. It will also contain a number of papers outside these conferences that focus on pottery production, notably of colour-coated wares in Lincoln and in the province of Noricum, as well as a report on the glass working furnace discovered alongside the pottery production kilns at Mancetter-Hartshill. Book reviews and obituaries are also included.

Author : Josep R. Llobera†
Publisher : Berghahn Books
ISBN 13 : 1782387501
Total Pages : 272 pages
Book Rating : 4.03/5 ( download)

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Download or read book An Invitation to Anthropology written by Josep R. Llobera† and published by Berghahn Books. This book was released on 2003-10-30 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Synthesizing British, French and American traditions, this stimulating and accessible text presents a comprehensive and fascinating introduction to social and cultural anthropology. It offers an original approach through integrating knowledge produced from a variety of perspectives, placing cultural and social anthropology in a wider context including macro-sociological concepts and reference to biological evolution. Written in a clear and concise style, it conveys to the student the complexities of a discipline focusing on the structure, evolution and cultural identity of human societies up to the present day. The text consists of four major parts: the scope and method of anthropology, a conceptual and institutional overview, the evolution of the structure of human societies, and the cultural politics of race, ethnicity, nationalism and multiculturalism.

Author : Vaughn Climenhaga
Publisher : American Mathematical Soc.
ISBN 13 : 1470434792
Total Pages : 420 pages
Book Rating : 4.93/5 ( download)

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Download or read book From Groups to Geometry and Back written by Vaughn Climenhaga and published by American Mathematical Soc.. This book was released on 2017-04-07 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: Groups arise naturally as symmetries of geometric objects, and so groups can be used to understand geometry and topology. Conversely, one can study abstract groups by using geometric techniques and ultimately by treating groups themselves as geometric objects. This book explores these connections between group theory and geometry, introducing some of the main ideas of transformation groups, algebraic topology, and geometric group theory. The first half of the book introduces basic notions of group theory and studies symmetry groups in various geometries, including Euclidean, projective, and hyperbolic. The classification of Euclidean isometries leads to results on regular polyhedra and polytopes; the study of symmetry groups using matrices leads to Lie groups and Lie algebras. The second half of the book explores ideas from algebraic topology and geometric group theory. The fundamental group appears as yet another group associated to a geometric object and turns out to be a symmetry group using covering spaces and deck transformations. In the other direction, Cayley graphs, planar models, and fundamental domains appear as geometric objects associated to groups. The final chapter discusses groups themselves as geometric objects, including a gentle introduction to Gromov's theorem on polynomial growth and Grigorchuk's example of intermediate growth. The book is accessible to undergraduate students (and anyone else) with a background in calculus, linear algebra, and basic real analysis, including topological notions of convergence and connectedness. This book is a result of the MASS course in algebra at Penn State University in the fall semester of 2009.

Author : Eliat Aram
Publisher : Routledge
ISBN 13 : 0429814526
Total Pages : 242 pages
Book Rating : 4.25/5 ( download)

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Download or read book Doing the Business of Group Relations Conferences written by Eliat Aram and published by Routledge. This book was released on 2018-11-09 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: Group Relations conferences offer opportunities to learn about group, organisational and social dynamics; the exercise of authority and power; the interplay between tradition, innovation and change; and the relationship of organisations to their social, political and economic environments. This book, the fifth in a series of Tavistock Group Relations Conferences, contains a collection of papers presented at the fifth Belgirate conference, plus three additional papers reflecting on and making sense of several participants’ conference experiences. Taken together, these chapters study the discourse of Group Relations conferences as well as reflecting on the changing nature and shifting patterns of this discourse. In Doing the Business of Group Relations Conferences, authors reflect on the vicissitudes of meanings this expression generates.

Author :
Publisher :
ISBN 13 :
Total Pages : 142 pages
Book Rating : 4./5 ( download)

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Download or read book Popular Mechanics written by and published by . This book was released on 1992-12 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt: Popular Mechanics inspires, instructs and influences readers to help them master the modern world. Whether it’s practical DIY home-improvement tips, gadgets and digital technology, information on the newest cars or the latest breakthroughs in science -- PM is the ultimate guide to our high-tech lifestyle.