CORDIS Project
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This research program explores the structure of locally compact groups, focusing on the relationship between connected and discrete groups. The aim is to address open problems related to the algebraic characterization and properties of these mathematical entities.
The theory of locally compact groups stretches out between two antipodes: on one hand, connected groups whose structure, according to the solution to Hilbert fifth problem, is governed by Lie theory and is thus relatively rigid, and on the other hand, discrete groups, which are subject to a spectacular variety of behaviours, going from the most stringent rigidity properties to the most intriguing pathological ones.
The goal of this research program is to explore the wide space lying between thes…
UNIVERSITE CATHOLIQUE DE LOUVAIN
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