New Directions in Locally Compact Groups (Paperback)

Nicolas Monod

ISBN 10: 1108413129 / ISBN 13: 9781108413121

Verlag: Cambridge University Press, Cambridge, 2018

Beschreibung

Paperback. 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 BurgerMozes construction of simple lattices are also included. A final chapter collects various problems suggesting future research directions. This collection of expository articles provides an overview of the major renaissance happening today in the study of locally compact groups and their many connections to other areas of mathematics, including geometric group theory, measured group theory and rigidity of lattices. For researchers and graduate students. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

Bestandsnummer des Verkäufers 9781108413121

Bibliografische Details

• Titel: New Directions in Locally Compact Groups (Paperback)
• Verlag: Cambridge University Press, Cambridge
• Erscheinungsjahr: 2018
• Sprache: Englisch
• ISBN-10: 1108413129
• ISBN-13: 9781108413121
• Einband: Paperback
• Zustand: new

Über diesen Titel

Inhaltsangabe

A snapshot of the major renaissance happening today in the study of locally compact groups and their many applications.

Über die Autorinnen und Autoren

Pierre-Emmanuel Caprace is a member of the Institute of Research in Mathematics and Physics (IRMP) at the Catholic University of Leuven, Belgium. His joint work with his co-author, Nicolas Monod, received the Berwick Prize from the London Mathematical Society in 2015.

Nicolas Monod is a professor and director of the research chair EGG at École Polytechnique Fédérale de Lausanne. He is also the Director of the Bernoulli Center (CIB). His joint work with his co-author, Pierre-Emmanuel Caprace, received the Berwick Prize from the London Mathematical Society in 2015.