# Non-discrete simple locally compact groups

• ### Pierre-Emmanuel Caprace

Université Catholique de Louvain, Louvain-la-Neuve, Belgium

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## Abstract

Simple Lie groups and simple algebraic groups over local fields are the most prominent members of the class $\mathcal S$ of compactly generated non-discrete simple locally compact groups. We outline a new trend, which emerged in the past decade, whose purpose is the study of $\mathcal S$ as a whole.