The 22nd Midrasha Mathematicae: Equidistribution, Invariant Measures and Applications

Sun, 19/05/2019 to Fri, 24/05/2019


Equidistribution, Invariant Measures and Applications
A tribute to the Legacy of Marina Ratner


General Director:  Peter Sarnak (IAS Princeton)



Konstantin Khanin (University of Toronto)
Elon Lindenstrauss (The Hebrew University of Jerusalem)
Jens Marklof (University of Bristol)
Yakov Pesin (Penn State University)


Recorded Lectures>

Full Program>

Lecture Titles and Abstracts>


Marina Ratner's work on homogeneous dynamics, specifically her landmark results on classifying invariant measures and invariant sets under the action of unipotent groups, are a cornerstone of modern ergodic theory. They have had remarkable impact in various branches of mathematics, which is only growing over time. The Midrasha will be devoted to recent developments that build on and extend Ratner’s seminal work, including: unipotent flows and their applications to counting and equidistribution; diagonal flows on homogenous spaces, and their applications in arithmetic and beyond; measure and orbit classification results for dynamics on moduli spaces of abelian and quadratic differentials; stationary measures and associated random walks in the homogeneous and non-homogeneous spaces. This Midrasha will provide a unique opportunity to remember Marina Ratner (1938–2017) and to celebrate her legacy.


Minicourses Lecturers:

Hee Oh, Yale University
Barak Weiss,Tel Aviv University



Yves Benoist, Univerisé Paris-Sud
Aaron Brown, University of Chicago
Dmitry Dolgopyat, University of Maryland
Manfred Einsiedler, ETH Zürich
Alex Eskin, The University of Chicago
David Fisher, Indiana Universityy Bloomington
Hillel Furstenberg, The Hebrew University of Jerusalem
Adam Kanigowski, University of Maryland
Ilya Khayutin, Princeton University
Amos Nevo, Technion - Israel Institute of Technology
Federico Rodriguez Hertz, Penn State University
Nimish Shah, Ohio State University
Uri Shapira, Technion - Israel Institute of Technology
Andreas Strömbergsson, Uppsala University
Jacob Tsimerman, University of Toronto
Corinna Ulcigrai, University of Bristol
Tamar Ziegler, The Hebrew University of Jerusalem