Presented By: RTG Seminar on Geometry, Dynamics and Topology - Department of Mathematics
RTG Seminar in Geometry, Topology and Dynamics. The Mozes Shah Theorem
Asaf Katz (U Michigan)
The Mozes-Shah theorem classifies limits of measures which are invariant under unipotent flows. This is the most common situation that arises in applications of measure classification in Number Theory and Geometry.
I will show some cool examples of this theorem and explain the main steps in the proof of the theorem (relying on the linearization technique of Dani-Margulis).
It will be an RTG talk, mainly focusing on examples.
If time permits I will explain a quantitative version of the theorem due to Einsiedler-Margulis-Venkatesh.
I will show some cool examples of this theorem and explain the main steps in the proof of the theorem (relying on the linearization technique of Dani-Margulis).
It will be an RTG talk, mainly focusing on examples.
If time permits I will explain a quantitative version of the theorem due to Einsiedler-Margulis-Venkatesh.
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