Cel 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. Dziedzina nauki natural sciencesmathematicspure mathematicsarithmetics Program(-y) 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) Temat(-y) ERC-SG-PE1 - ERC Starting Grant - Mathematical foundations Zaproszenie do składania wniosków ERC-2011-StG_20101014 Zobacz inne projekty w ramach tego zaproszenia System finansowania ERC-SG - ERC Starting Grant Instytucja przyjmująca UNIVERSITE CATHOLIQUE DE LOUVAIN Wkład UE € 848 640,00 Adres PLACE DE L UNIVERSITE 1 1348 Louvain La Neuve Belgia Zobacz na mapie Region Région wallonne Prov. Brabant Wallon Arr. Nivelles Rodzaj działalności Higher or Secondary Education Establishments Kierownik naukowy Pierre-Emmanuel Caprace (Dr.) Kontakt administracyjny Anne Bovy (Ms.) Linki Kontakt z organizacją Opens in new window Strona internetowa Opens in new window Koszt całkowity Brak danych Beneficjenci (1) Sortuj alfabetycznie Sortuj według wkładu UE Rozwiń wszystko Zwiń wszystko UNIVERSITE CATHOLIQUE DE LOUVAIN Belgia Wkład UE € 848 640,00 Adres PLACE DE L UNIVERSITE 1 1348 Louvain La Neuve Zobacz na mapie Region Région wallonne Prov. Brabant Wallon Arr. Nivelles Rodzaj działalności Higher or Secondary Education Establishments Kierownik naukowy Pierre-Emmanuel Caprace (Dr.) Kontakt administracyjny Anne Bovy (Ms.) Linki Kontakt z organizacją Opens in new window Strona internetowa Opens in new window Koszt całkowity Brak danych