New Directions in Locally Compact Groups: (London Mathematical Society Lecture Note Series)
By
Pierre-Emmanuel Caprace (Contributor) Nicolas Monod (Contributor)
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Description
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. Worked examples or Exercises; 3 Halftones, black and white; 13 Line drawings, black and white
About the Author
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 Ecole Polytechnique Federale 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.
More Details
- Contributor: Pierre-Emmanuel Caprace
- Imprint: Cambridge University Press
- ISBN13: 9781108413121
- Number of Pages: 366
- Packaged Dimensions: 152x228x20mm
- Packaged Weight: 530
- Format: Paperback
- Publisher: Cambridge University Press
- Release Date: 2018-02-08
- Series: London Mathematical Society Lecture Note Series
- Binding: Paperback / softback
- Biography: 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 Ecole Polytechnique Federale 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.
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