SIMPLELCGPS

Simple locally compact groups: exploring the boundaries of the linear world

 Coordinatore UNIVERSITE CATHOLIQUE DE LOUVAIN 

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 Nazionalità Coordinatore Belgium [BE]
 Totale costo 848˙640 €
 EC contributo 848˙640 €
 Programma 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)
 Code Call ERC-2011-StG_20101014
 Funding Scheme ERC-SG
 Anno di inizio 2011
 Periodo (anno-mese-giorno) 2011-12-01   -   2016-11-30

 Partecipanti

# participant  country  role  EC contrib. [€] 
1    UNIVERSITE CATHOLIQUE DE LOUVAIN

 Organization address address: Place De L'Universite 1
city: LOUVAIN LA NEUVE
postcode: 1348

contact info
Titolo: Dr.
Nome: Pierre-Emmanuel
Cognome: Caprace
Email: send email
Telefono: 3210473163
Fax: 3210472530

BE (LOUVAIN LA NEUVE) hostInstitution 848˙640.00
2    UNIVERSITE CATHOLIQUE DE LOUVAIN

 Organization address address: Place De L'Universite 1
city: LOUVAIN LA NEUVE
postcode: 1348

contact info
Titolo: Ms.
Nome: Anne
Cognome: Bovy
Email: send email
Telefono: 3210472498
Fax: 3210474830

BE (LOUVAIN LA NEUVE) hostInstitution 848˙640.00

Mappa


 Word cloud

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theory    algebraic    groups    questions    locally    compact   

 Obiettivo del progetto (Objective)

'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.'

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