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Introductory Lectures on Ergodic Theory, Geometry and Lie Groups


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10th January 2000 to 14th January 2000

Original URL:

Isaac Newton Institute for Mathematical Sciences

Ergodic Theory, Geometric Rigidity and Number Theory

5 January to 7 July 2000

Organisers: A Katok (Penn State), G Margulis (Yale), M Pollicott (Manchester)

Introductory lecture series on

"Ergodic Theory, Rigidity and Number Theory''

10-14 January 2000

Provisional ProgrammeParticipants

The overall programme. The six month programme at the Newton Institute deals with ergodic theory and its recent applications to problems in rigidity of group actions, and number theory. This includes such important developments as the classification of the actions of higher rank groups, unipotent flows on homogeneous spaces and the Oppenheim conjecture. The organisers are A Katok, G Margulis and M Pollicott.

The lectures. The meeting will consist of a series of short courses by specialists in the area, intended to provide an introduction to a general audience.

M Burger (ETH Zurich)

Cohomological aspects  of lattices and applications to products  of trees
R Feres (St Louis)Co-cycle and topological super-rigidity
H Furstenberg (Jerusalem)Ergodic theory and the geometry of fractals
A Katok (Penn State)Dynamics and ergodic theory of smooth actions of higher-rank abelian groups and lattices in semi-simple Lie groups
D Kleinbock (Rutgers)Interactions between homogeneous dynamics and number theory

In addition, there will be a number of research talks.

Location: The lectures will take place at the Newton Institute, Cambridge.

Future meetings. There will be other meetings associated with the programme: 27-31 March 2000, Rigidity in Dynamics and Geometry; 3-7 April 2000, Ergodic theory and higher rank actions; 3-7 July 2000, Concluding conference.

University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons