Seminar on homogeneous dynamics and applications

Tel Aviv University, Fall 2025


Time and place Thursday 15:10-17:00 Schreiber 210.

The lectures will also be broadcast by Zoom, Meeting ID 874 8358 4287

Recordings will be available upon request -- if you would like to see a recording please send me an email.




About This year we will study effective results in homogeneous dynamics. First we will discuss the general problem of effectivization of results in ergodic theory and discuss by-now classical techniques involving the theory of unitary representations. Then we will turn to the following recent breakthrough papers.
  • Khintchine dichotomy for self-similar measures, by Timothée Bénard, Weikun He and Han Zhang

  • Multislicing and effective equidistribution for random walks on some homogeneous spaces, by Timothée Bénard and Weikun He

  • Effective equidistribution for some one-parameter unipotent flows, by Elon Lindenstrauss, Amir Mohammadi and Zhiren Wang.




    		• Schedule
  • Nov 13 Overview and organizational meeting

  • Nov 27, Tomer Guralnik, Meaning of equidistribution, and pointwise ergodic theorem

  • Dec 4, Oded Elisha, Basics of homogeneous dynamics

  • Dec 11 Effective results for all functions are impossible

  • Dec 18, Yonatan Igler, Using unitary representations in homogeneous dynamics

  • Dec 25 Property (T)

    /

  • Jan 1, 2026 Some implications for Diophantine approximation



    		• Previous years Fall 2014

    Spring 2015

    Fall 2015

    Spring 2016

    Fall 2016

    Spring 2017

    Fall 2017

    Spring 2018

    Fall 2018

    Spring 2019

    Fall 2019

    Spring 2020

    Fall 2020 and Spring 2021

    Fall 2021 and Spring 2022

    Fall 2023 and Spring 2024

    Fall 2024 and Spring 2025