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Dynamics of Lie group actions on parameter spaces

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 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.

Call for proposal

ERC-2011-StG_20101014
See other projects for this call

Funding Scheme

ERC-SG - ERC Starting Grant

Host institution

TEL AVIV UNIVERSITY
Address
Ramat Aviv
69978 Tel Aviv
Israel
Activity type
Higher or Secondary Education Establishments
EU contribution
€ 615 800
Principal investigator
Barak Weiss (Prof.)
Administrative Contact
Lea Pais (Ms.)

Beneficiaries (2)

TEL AVIV UNIVERSITY
Israel
EU contribution
€ 615 800
Address
Ramat Aviv
69978 Tel Aviv
Activity type
Higher or Secondary Education Establishments
Principal investigator
Barak Weiss (Prof.)
Administrative Contact
Lea Pais (Ms.)
BEN-GURION UNIVERSITY OF THE NEGEV

Participation ended

Israel
EU contribution
€ 234 200
Address
.
84105 Beer Sheva
Activity type
Higher or Secondary Education Establishments
Administrative Contact
Sharona Rittberg (Ms.)