CORDIS Project
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This project investigates the dynamics of Lie group actions on mathematical surfaces, focusing on the behavior of orbit-closures. It aims to apply these findings to areas such as number theory and dynamical systems.
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 sp…
TEL AVIV UNIVERSITY
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Israel, Beer Sheva
Type: University / higher education
Activity type: Higher or Secondary Education Establishments
SME: No
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