Obiettivo 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 these two extremes.The entire program is built around two major open problems: performing an exhaustive study of compactly generated simple locally compact groups, and finding an algebraic characterization of those locally compact groups which are linear. Although these problems do not seem to be directly approachable given the current state of knowledge, they are nevertheless considered as guidelines suggesting a number of specific questions and conjectures which are envisaged in detail under various perspectives of algebraic, geometric, arithmetic and analytic nature. Each of these specific questions presents independent interest; answers to any of them will moreover provide insight into the guiding problems. Campo scientifico natural sciencesmathematicspure mathematicsarithmetics Programma(i) FP7-IDEAS-ERC - Specific programme: "Ideas" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013) Argomento(i) ERC-SG-PE1 - ERC Starting Grant - Mathematical foundations Invito a presentare proposte ERC-2011-StG_20101014 Vedi altri progetti per questo bando Meccanismo di finanziamento ERC-SG - ERC Starting Grant Istituzione ospitante UNIVERSITE CATHOLIQUE DE LOUVAIN Contributo UE € 848 640,00 Indirizzo PLACE DE L UNIVERSITE 1 1348 Louvain La Neuve Belgio Mostra sulla mappa Regione Région wallonne Prov. Brabant Wallon Arr. Nivelles Tipo di attività Higher or Secondary Education Establishments Ricercatore principale Pierre-Emmanuel Caprace (Dr.) Contatto amministrativo Anne Bovy (Ms.) Collegamenti Contatta l’organizzazione Opens in new window Sito web Opens in new window Costo totale Nessun dato Beneficiari (1) Classifica in ordine alfabetico Classifica per Contributo UE Espandi tutto Riduci tutto UNIVERSITE CATHOLIQUE DE LOUVAIN Belgio Contributo UE € 848 640,00 Indirizzo PLACE DE L UNIVERSITE 1 1348 Louvain La Neuve Mostra sulla mappa Regione Région wallonne Prov. Brabant Wallon Arr. Nivelles Tipo di attività Higher or Secondary Education Establishments Ricercatore principale Pierre-Emmanuel Caprace (Dr.) Contatto amministrativo Anne Bovy (Ms.) Collegamenti Contatta l’organizzazione Opens in new window Sito web Opens in new window Costo totale Nessun dato