Group actions: Lei Yang (Sichuan University)

Date: 
Thu, 22/12/202210:00-12:00
Location: 
Zoom, public viewing in Ross 70

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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.