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https://huji.zoom.us/j/88614609516?pwd=anJ2Y0RBNURaVG9RR3pUNmU5aWNxZz09

Meeting ID: 886 1460 9516
Passcode: 937351
 

Title:  an effective version of Ratner’s equidistribution theorem for SL(3, R)

Abstract: In this talk, I will prove an effective version of Ratner’s equidistribution theorem for unipotent orbits in SL(3, R)/SL(3, Z). The proof relies on a bootstrapping argument controlling the dimension of the orbit along transversal directions. The key is to analyze a Kakeya-type model related to the behavior of unipotent orbits.