Printer-friendly versionPrinter-friendly version

Event date:
May 19-24, 2019

The 22nd Midrsha Mathematicae: Equidistribution, Invariant Measures and Applications: A tribute to the Legacy of Marina Ratner


General Director: Peter Sarnak (IAS Princeton)


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


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.


We would like to thank The Israeli IAS, Prof. Misha Brin, and the Einstein Institute of Mathematics of the Hebrew University of Jerusalem for funding the school.


Minicourses Lecturers:

- Hee Oh - Yale University

- Barak Weiss - Tel Aviv University



Yves Benoist - Tel Aviv University

- Aaron Brown - Yale University

- Dmitry Dolgopyat - University of Maryland

- Manfred Einsiedler - ETH Zürich

- Alex Eskin - The University of Chicago

- Hillel Furstenberg - Hebrew University of Jerusalem

- Adam Kanigowski - University of Maryland

- Ilya Khayutin - Princeton University

- Amos Nevo - Technion

- Federico Rodriguez Hertz - Penn State University

- Nimish Shah - The Ohio State University

- Uri Shapira - Technion

- Andreas Strömbergsson - Uppsala University

- Jacob Tsimerman - University of Toronto

- Corinna Ulcigrai - University of Bristol