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Content archived on 2024-05-28

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
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Host institution

TEL AVIV UNIVERSITY
EU contribution
€ 615 800,00
Address
RAMAT AVIV
69978 Tel Aviv
Israel

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Activity type
Higher or Secondary Education Establishments
Principal investigator
Barak Weiss (Prof.)
Administrative Contact
Lea Pais (Ms.)
Links
Total cost
No data

Beneficiaries (2)