Effective equidistribution in homogeneous spaces and restricted projection theorems
Hot Topics: Interactions between Harmonic Analysis, Homogeneous Dynamics, and Number Theory March 03, 2025 - March 07, 2025
Location: SLMath: Eisenbud Auditorium, Online/Virtual
Primary Mathematics Subject Classification
No Primary AMS MSC
Secondary Mathematics Subject Classification
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Effective equidistribution in homogeneous spaces and restricted projection theorems
I will talk about recent developments on establishing effective versions of Ratner’s equidistribution theorem. I will explain the connection between quantitative behavior of unipotent orbits and problems from harmonic analysis on restricted projections. Then I will explain proofs for some important cases relying on arguments from incidence geometry. Based on joint work with Elon Lindenstrauss, Amir Mohammadi, and Zhiren Wang.
Effective equidistribution in homogeneous spaces and restricted projection theorems
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