UB12

Ergodic Group Theory

Coordinatore	TECHNION - ISRAEL INSTITUTE OF TECHNOLOGY    more Spiacenti, non ci sono informazioni su questo coordinatore. Contattare Fabio per maggiori infomrazioni, grazie.
Nazionalità Coordinatore	Israel [IL]
Totale costo	1˙150˙000 €
EC contributo	1˙150˙000 €
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-2012-StG_20111012
Funding Scheme	ERC-SG
Anno di inizio	2012
Periodo (anno-mese-giorno)	2012-09-01   -   2017-08-31

 Partecipanti

#	participant	country	role	EC contrib. [€]
1	TECHNION - ISRAEL INSTITUTE OF TECHNOLOGY  Organization address address: TECHNION CITY - SENATE BUILDING city: HAIFA postcode: 32000 contact info Titolo: Mr. Nome: Mark Cognome: Davison Email: send email Telefono: +972 4 823 3097 Fax: +972 4 823 2958	IL (HAIFA)	hostInstitution	1˙150˙000.00
2	TECHNION - ISRAEL INSTITUTE OF TECHNOLOGY  Organization address address: TECHNION CITY - SENATE BUILDING city: HAIFA postcode: 32000 contact info Titolo: Prof. Nome: Uri Cognome: Bader Email: send email Telefono: +972 4 636 8225	IL (HAIFA)	hostInstitution	1˙150˙000.00

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 Obiettivo del progetto (Objective)

'The aim of the proposed research is gaining a better understanding of locally compact groups and their lattices. Our tools are mainly ergodic theoretical. We propose a variety of novel ideas that open new horizons for research. The first meta idea is the adoption of tools from the semi-simple theory in order to apply them for general locally compact groups. In particular, we suggest a construction of a 'Weyl group' and an abstract definition of rank for every locally compact group. We are able to construct a 'Coxeter complex' and we foresee a construction of a 'building like' object. A second set of ideas concerns the category of measure equivalences, which is a natural generalization of the notion of a lattice in a group. This category is long known to be a measurable counterpart of the better studied category of quasi-isometries, yet it misses a good definition of self measure equivalences of an object, analog to the group of quasi-isometries. We suggest such a definition, and propose to study it, among a variety of related constructions. A full implementation of our ideas requires a better understanding of locally compact groups. Thus, an important aspect of the proposed research is that it leaves plenty of room for the study of specific examples and test cases.'