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 Here are the notes from Tomer's talk. Dec 4, Oded Elisha, Basics of homogeneous dynamics Here are the notes from Oded's talk. Dec 11, Jonathan Gontmakher, Effective results for all functions are impossible + unique ergodicity Here are the notes for Jonathan's talk. Dec 18, Yonatan Igler, Using unitary representations in homogeneous dynamics Dec 25, Roey Zemmel, Property (T) Alon Agin, Jan 1, 2026 Some implications for Diophantine approximation Here are the notes for Alon's talk. Jan 8, 2026 Action Now meeting, Ben Gurion University (no seminar meeting). Hayim Shamir, Jan 15, 2026 (Effective) unique ergodicity of the horocycle flow in the compact case.
	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