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 group
New directions in locally compact groups
โ Scribed by Caprace, Pierre-Emmanuel; Monod, Nicolas (eds.)
- Publisher
- Cambridge University Press
- Year
- 2018
- Tongue
- English
- Leaves
- 367
- Series
- London Mathematical Society lecture note series 447
- Category
- Library
No coin nor oath required. For personal study only.
โฆ Table of Contents
Content: Foreword George Willis
1. On the role of totally disconnected groups in the structure of locally compact groups Marc Burger
2. Locally compact groups as metric spaces Romain Tessera
3. A short primer on profinite groups John S. Wilson
4. Lectures on Lie groups over local fields Helge Gloeckner
5. Abstract quotients of profinite groups, after Nikolov and Segal Benjamin Klopsch
6. Automorphism groups of trees: generalities and prescribed local actions Alejandra Garrido, Yair Glasner and Stephan Tornier
7. Simon Smith's construction of an uncountable family of simple, totally disconnected, locally compact groups Colin Reid and George Willis
8. The Neretin groups Lukasz Garncarek and Nir Lazarovich
9. The scale function and tidy subgroups Albrecht Brehm, Maxime Gheysens, Adrien Le Boudec and Rafaela Rollin
10. Contraction groups and the scale Phillip Wesolek
11. The Bader-Shalom normal subgroup theorem Swiatoslaw Gal
12. Burger-Mozes' simple lattices Laurent Bartholdi
13. A lecture on invariant random subgroups Tsachik Gelander
14. L2-Betti number of discrete and non-discrete groups Roman Sauer
15. Minimal normal closed subgroups in compactly generated tdlc groups Thibaut Dumont and Dennis Gulko
16. Elementary totally disconnected locally compact groups, after Wesolek Morgan Cesa and Francois Le Maitre
17. The structure lattice of a totally disconnected locally compact group John S. Wilson
18. The centraliser lattice David Hume and Thierry Stulemeijer
19. On the quasi-isometric classification of locally compact groups Yves de Cornulier
20. Future directions in locally compact groups: a tentative problem list Pierre-Emmanuel Caprace and Nicolas Monod
Index.
โฆ Subjects
Grupos localmente compactos.
๐ SIMILAR VOLUMES
Locally compact groups play an important role in many areas of mathematics as well as in physics. The class of locally compact groups admits a strong structure theory, which allows to reduce many problems to groups constructed in various ways from the additive group of real numbers, the classical li
Locally compact groups play an important role in many areas of mathematics as well as in physics. The class of locally compact groups admits a strong structure theory, which allows to reduce many problems to groups constructed in various ways from the additive group of real numbers, the classical li
Locally compact groups play an important role in many areas of mathematics as well as in physics. The class of locally compact groups admits a strong structure theory, which allows to reduce many problems to groups constructed in various ways from the additive group of real numbers, the classical li