Objective There are many parallels between Lie group actions on homogeneous spaces and the action of $\SL_2(\R)$ and its subgroups on strata of translation or half-translation surfaces. I propose to investigate these two spaces in parallel, focusing on the dynamicalbehavior, and more specifically, the description of orbit-closures.I intend to utilize existing and emerging measure rigidity results, and to develop new topologicalapproaches. These should also shed light on the geometry and topology of the spaces. I propose to apply results concerning these spaces to the study of diophantine approximations (approximation on fractals), geometry of numbers (Minkowski's conjecture), interval exchanges, and rational billiards. Fields of science natural sciencesmathematicspure mathematicstopologynatural sciencesmathematicspure mathematicsgeometrynatural sciencesmathematicspure mathematicsalgebraalgebraic geometry 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-2011-StG_20101014 See other projects for this call Funding Scheme ERC-SG - ERC Starting Grant Coordinator TEL AVIV UNIVERSITY Address Ramat aviv 69978 Tel aviv Israel See on map Activity type Higher or Secondary Education Establishments Principal investigator Barak Weiss (Prof.) Administrative Contact Lea Pais (Ms.) Links Contact the organisation Opens in new window Website Opens in new window EU contribution No data Beneficiaries (2) Sort alphabetically Sort by EU Contribution Expand all Collapse all TEL AVIV UNIVERSITY Israel EU contribution € 615 800,00 Address Ramat aviv 69978 Tel aviv See on map Activity type Higher or Secondary Education Establishments Principal investigator Barak Weiss (Prof.) Administrative Contact Lea Pais (Ms.) Links Contact the organisation Opens in new window Website Opens in new window Other funding No data BEN-GURION UNIVERSITY OF THE NEGEV Participation ended Israel EU contribution € 234 200,00 Address . 84105 Beer sheva See on map Activity type Higher or Secondary Education Establishments Administrative Contact Sharona Rittberg (Ms.) Links Contact the organisation Opens in new window Website Opens in new window Other funding No data
