Metric Geometry of Locally Compact Groups - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Metric Geometry of Locally Compact Groups write by Yves Cornulier. This book was released on 2016. Metric Geometry of Locally Compact Groups available in PDF, EPUB and Kindle. The main aim of this book is the study of locally compact groups from a geometric perspective, with an emphasis on appropriate metrics that can be defined on them. The approach has been successful for finitely generated groups and can be favorably extended to locally compact groups. Parts of the book address the coarse geometry of metric spaces, where ``coarse'' refers to that part of geometry concerning properties that can be formulated in terms of large distances only. This point of view is instrumental in studying locally compact groups. Basic results in the subject are exposed with complete proofs; others are stated with appropriate references. Most importantly, the development of the theory is illustrated by numerous examples, including matrix groups with entries in the the field of real or complex numbers, or other locally compact fields such as $p$-adic fields, isometry groups of various metric spaces, and last but not least, discrete groups themselves. The book is aimed at graduate students, advanced undergraduate students, and mathematicians seeking some introduction to coarse geometry and locally compact groups.
New Directions in Locally Compact Groups
New Directions in Locally Compact Groups - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook New Directions in Locally Compact Groups write by Pierre-Emmanuel Caprace. This book was released on 2018-02-08. New Directions in Locally Compact Groups available in PDF, EPUB and Kindle. A snapshot of the major renaissance happening today in the study of locally compact groups and their many applications.
New Directions in Locally Compact Groups
New Directions in Locally Compact Groups - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook New Directions in Locally Compact Groups write by Pierre-Emmanuel Caprace. This book was released on 2018-02-08. New Directions in Locally Compact Groups available in PDF, EPUB and Kindle. This collection of expository articles by a range of established experts and newer researchers provides an overview of the recent developments in the theory of locally compact groups. It includes introductory articles on totally disconnected locally compact groups, profinite groups, p-adic Lie groups and the metric geometry of locally compact groups. Concrete examples, including groups acting on trees and Neretin groups, are discussed in detail. An outline of the emerging structure theory of locally compact groups beyond the connected case is presented through three complementary approaches: Willis' theory of the scale function, global decompositions by means of subnormal series, and the local approach relying on the structure lattice. An introduction to lattices, invariant random subgroups and L2-invariants, and a brief account of the Burger–Mozes construction of simple lattices are also included. A final chapter collects various problems suggesting future research directions.
Coarse Geometry of Topological Groups
Coarse Geometry of Topological Groups - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Coarse Geometry of Topological Groups write by Christian Rosendal. This book was released on 2021-12-16. Coarse Geometry of Topological Groups available in PDF, EPUB and Kindle. Provides a general framework for doing geometric group theory for non-locally-compact topological groups arising in mathematical practice.
2016 MATRIX Annals
2016 MATRIX Annals - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook 2016 MATRIX Annals write by Jan de Gier. This book was released on 2018-04-10. 2016 MATRIX Annals available in PDF, EPUB and Kindle. MATRIX is Australia’s international, residential mathematical research institute. It facilitates new collaborations and mathematical advances through intensive residential research programs, each lasting 1-4 weeks. This book is a scientific record of the five programs held at MATRIX in its first year, 2016: - Higher Structures in Geometry and Physics - Winter of Disconnectedness - Approximation and Optimisation - Refining C*-Algebraic Invariants for Dynamics using KK-theory - Interactions between Topological Recursion, Modularity, Quantum Invariants and Low- dimensional Topology The MATRIX Scientific Committee selected these programs based on their scientific excellence and the participation rate of high-profile international participants. Each program included ample unstructured time to encourage collaborative research; some of the longer programs also included an embedded conference or lecture series. The articles are grouped into peer-reviewed contributions and other contributions. The peer-reviewed articles present original results or reviews on selected topics related to the MATRIX program; the remaining contributions are predominantly lecture notes based on talks or activities at MATRIX.
