Description
Ergodic theory has its origins in the the work of L. Boltzmann on the kinetic theory of gases. The closely related field of dynamical systems has a much older origin, going back at least to Newtonian mechanics. Both subjects have since flourished into extremely active subjects with connections to many parts of mathematics and the physical sciences. Progress has been especially rapid in the last few years in differentiable dynamics and homogeneous dynamics. Differentiable dynamics studies flows on smooth manifolds and has links with geometry while homogeneous dynamics is the study of subgroup actions on homogeneous spaces of Lie groups and has connections to number theory. It is the aim of this two week workshop to ga ther top experts in these two subjects to deliver expositions on the state of the art in these subjects. The first week will be devoted to differentiable dynamics and the second week to homogeneous dynamics.

Special Lectures:
Infosys-ICTS Ramanujan lectures - by Elon Lindenstrauss
ICTS Distinguished lecture -  by Marcelo Viana.

List of invited Speakers

Speakers week 1:

Alex Blumenthal, Maryland, USA
Aaron Brown, Chicago, USA
Sylvain Crovisier, Paris Sud
Carlangelo Liverani, Rome, Italy
Federico Rodriguez-Hertz, Penn State, USA
Jana Rodriguez-Hertz, Shenzen, China
Sebastian van Strien, Imperial College, UK       
Marcelo Viana, IMPA
Khadim War, IMPA, Brazil
Zhiyuan Zhang, Princeton
                                             
Speakers week 2:
Victor Beresnevich, University of York
S. G. Dani, University of Mumbai
Manfred Einsiedler, ETH Zurich
Alexander Gorodnik, University of Zurich
Seonhee Lim, Seoul National University
Elon Lindenstrauss, Hebrew University of Jerusalem
Jens Marklof, University of Bristol
Shahar Mozes, Hebrew University of Jerusalem
Amos Nevo, Technion, Haifa
Sanju Velani, University of York
Barak Weiss, Tel Aviv University

Minicourse Lecturers
Sylvain Crovisier, Paris Sud, France
Stefano Luzzatto, ICTP

Both weeks will feature research talks by leading mathematicians as well as mini courses. A number of slots will be available in the program for younger participants to present their research and a poster session will also be organized.

A number of slots will be available in the programme for younger participants to present their research and a poster session will also be organized.

The program is jointly organised and supported by ICTS and IMPA.

Program link: https://www.icts.res.in/program/etds2019
General Information: https://www.icts.res.in/program/Information-for-Participants
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