UB12
Ergodic Group Theory
| Coordinatore | TECHNION - ISRAEL INSTITUTE OF TECHNOLOGY
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
| # | ||||
|---|---|---|---|---|
| 1 |
TECHNION - ISRAEL INSTITUTE OF TECHNOLOGY
Organization address
address: TECHNION CITY - SENATE BUILDING contact info |
IL (HAIFA) | hostInstitution | 1˙150˙000.00 |
| 2 |
TECHNION - ISRAEL INSTITUTE OF TECHNOLOGY
Organization address
address: TECHNION CITY - SENATE BUILDING contact info |
IL (HAIFA) | hostInstitution | 1˙150˙000.00 |
Mappa
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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.'