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)

Isaac Newton Institute for Mathematical Sciences, Cambridge, UK

EuroWorkshop

Rigidity in Dynamics and Geometry

27-31 March 2000

Programme

Participants

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 Workshop. This meeting will be organized by M Burger (ETH-Zurich), S Dani (Tate), A Eskin (Chicago), and G Margulis (Yale). The main topics covered by this meeting will be the following: 1. Flows on homogeneous spaces and number theory. 2. Rigidity and quasiisometries. 3. Spaces of nonpositive curvature. 4. Compact quotients of homogeneous spaces. 5. Rational billiards and Teichmuller spaces. 6. Random walks, harmonic measures and mixing.

Possible participants. S Adams, H Abels, M Babillot, V Bernik, VBergelson, M Bourdon, F Dal'bo, S Dani, M Dodson, T Drumm, B Farb, R Feres, L Flaminio, P Foulon, A Furman, W Goldman, Y Guivarc'h, A Iozzi, V Kaimanovich, A Katok, B Kleiner, G Knieper, B Leeb, H Oh, D Gaboriau, T Kobayashi, F Labourie, L Lifschitz, A Lubotsky, L Mosher, H Pajot, F Paulin, M Ragunathan, C Series, V Schroeder, R Schwartz, N Shah, Y Shalom, M Skriganov, A Starkov, A Stepin, E Stein, G Tomanov, A Torok, T Venkataramani, M Wang, A Valette, S Velani, A Vershik, P Walters, D Witte, K Whyte, A Zeghib, A Zorich, A Zuk

The EuroWorkshop is supported by the European Community and funding is available to support some young researchers. It is intended for nationals of EC Member States and of Iceland, Liechtenstein, Norway, Israel, Bulgaria, Cyprus, Czech Republic, Estonia, Hungary, Latvia, Lithuania, Poland, Romania, Slovakia, Slovenia and Switzerland, who must all be under 35 years of age. There is a limited amount of support available, particularly for EC participants and USA participants (through the generous support from the NSF). Self-supporting participants of any age and nationality are welcome to apply.

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

Future meetings. There will be other meetings associated with the programme: 10-14 January 2000, Introductory lecture series; 3-7 April 2000, Ergodic theory and higher rank actions; 3-7 July 2000, Concluding conference.

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