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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.

Locally compact groups. --- Compact groups --- Topological groups

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Est-il concevable qu’une période historique longue de quarante ans, qui vit s’instaurer un système bipolaire au niveau mondial, entraînant la planète dans une grille de lecture du monde manichéenne, n’ait trouvé aucun écho dans les communes et les départements français ? Peut-on au contraire imaginer découvrir quelques traces de ce conflit géopolitique dans les comportements politiques et les pratiques culturelles qui se sont déployés aux échelons infranationaux ? Ce sont ces deux questions, faussement naïves, auxquelles cet ouvrage se propose de répondre. Adossée au réseau des correspondants de l’Institut d’Histoire du Temps Présent (CNRS), pluridisciplinaire dans ses approches, l’enquête collective est portée par une double ambition : retrouver de la Guerre froide ailleurs que là où elle est communément située et interprétée, repérer une autre Guerre froide que celle élaborée par les seuls acteurs des relations internationales. Vue d’en bas, quelle Guerre froide rencontre-t-on ? Est-elle au moins encore guerrière ?

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