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Ergodic Theory/Probability Seminar - Andreas Wieser

https://awieser1.github.io
September 4, 2024
12:30 pm - 1:30 pm
Math Tower (MW) 154

Andreas Wieser
University California San Diego

 

Title
Effective equidistribution of orbits of semisimple groups and an effective closing lemma

Abstract
In recent years, quantitative equidistribution results have been a major theme in homogeneous dynamics. In the first half of this talk, we discuss a polynomially effective equidistribution result for orbits of semisimple groups on congruence quotients. This extends work of Einsiedler, Margulis, and Venkatesh by removing the assumed triviality of the centralizer in the ambient group. An essential ingredient of the proof is an effective closing lemma for unipotent flows from work with Lindenstrauss, Margulis, Mohammadi, and Shah. We discuss this result in the second half of the talk.

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Seminar - Ergodic Theory/Probability