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." Programme(s) 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) Topic(s) ERC-SG-PE1 - ERC Starting Grant - Mathematical foundations Call for proposal ERC-2012-StG_20111012 See other projects for this call Funding Scheme ERC-SG - ERC Starting Grant Host institution WEIZMANN INSTITUTE OF SCIENCE EU contribution € 529 695,74 Address HERZL STREET 234 7610001 Rehovot Israel See on map Activity type Higher or Secondary Education Establishments Principal investigator Uri Bader (Prof.) Administrative Contact Gabi Bernstein (Ms.) Links Contact the organisation Opens in new window Website Opens in new window Total cost No data Beneficiaries (2) Sort alphabetically Sort by EU Contribution Expand all Collapse all WEIZMANN INSTITUTE OF SCIENCE Israel EU contribution € 529 695,74 Address HERZL STREET 234 7610001 Rehovot See on map Activity type Higher or Secondary Education Establishments Principal investigator Uri Bader (Prof.) Administrative Contact Gabi Bernstein (Ms.) Links Contact the organisation Opens in new window Website Opens in new window Total cost No data TECHNION - ISRAEL INSTITUTE OF TECHNOLOGY Participation ended Israel EU contribution € 620 304,26 Address SENATE BUILDING TECHNION CITY 32000 Haifa See on map Activity type Higher or Secondary Education Establishments Administrative Contact Mark Davison (Mr.) Links Contact the organisation Opens in new window Website Opens in new window Total cost No data
