Dynamics of Lie group actions on parameter spaces

Projektinformationen

DLGAPS

ID Finanzhilfevereinbarung: 279893

Abgeschlossenes Projekt

Startdatum 1 Oktober 2011

Enddatum 30 September 2016

Finanziert unter

• Specific programme: "Ideas" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013)

Gesamtkosten € 850 000,00

EU-Beitrag € 850 000,00

Koordiniert durch

TEL AVIV UNIVERSITY
Israel

Ziel

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 dynamical
behavior, and more specifically, the description of orbit-closures.
I intend to utilize existing and emerging measure rigidity results, and to develop new topological
approaches. 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.

Wissenschaftliches Gebiet

• natural sciences › mathematics › pure mathematics › topology
• natural sciences › mathematics › pure mathematics › geometry
• natural sciences › mathematics › pure mathematics › algebra › algebraic geometry

Programm/Programme

• 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)

Thema/Themen

• ERC-SG-PE1 - ERC Starting Grant - Mathematical foundations

Aufforderung zur Vorschlagseinreichung

ERC-2011-StG_20101014
Andere Projekte für diesen Aufruf anzeigen

Finanzierungsplan

ERC-SG - ERC Starting Grant

Gastgebende Einrichtung

TEL AVIV UNIVERSITY

Hauptforscher

Barak Weiss (Prof.)

Kontakt Verwaltung

Lea Pais (Ms.)

• EU-Beitrag: € 615 800,00
• Adresse: RAMAT AVIV ; 69978 Tel Aviv ; Israel
• Aktivitätstyp: Higher or Secondary Education Establishments
• Gesamtkosten: Keine Daten

Begünstigte (2)

TEL AVIV UNIVERSITY

Israel

Hauptforscher

Barak Weiss (Prof.)

Kontakt Verwaltung

Lea Pais (Ms.)

• EU-Beitrag: € 615 800,00
• Adresse: RAMAT AVIV ; 69978 Tel Aviv
• Aktivitätstyp: Higher or Secondary Education Establishments
• Gesamtkosten: Keine Daten

BEN-GURION UNIVERSITY OF THE NEGEV

Beteiligung beendet

Israel

Kontakt Verwaltung

Sharona Rittberg (Ms.)

• EU-Beitrag: € 234 200,00
• Adresse: . ; 84105 Beer Sheva
• Aktivitätstyp: Higher or Secondary Education Establishments
• Gesamtkosten: Keine Daten