|Registration Deadline:||October 01, 2004 over 12 years ago|
|To apply for Funding you must register by:||June 27, 2004 over 12 years ago|
- Mike Boyle
- Keith Burns (Northwestern University)
- Hellen Colman
- Danijela Damjanovic
- Rafael de la Llave (Georgia Institute of Technology)
- Manfred Denker
- Dmitry Dolgopyat
- Manfred Einsiedler (ETH Zürich)
- Bassam Fayad
- Michael Field
- David Fisher (Indiana University)
- Giovanni Forni
- Hillel Furstenberg (Hebrew University)
- Michail Gromov
- Ursula Hamenstädt (Rheinische Friedrich-Wilhelms-Universität Bonn)
- Helmut Hofer (Institute for Advanced Study)
- Huyi Hu
- Steven Hurder
- Yulij Ilyashenko
- Michael Jakobson
- Anatole Katok (Pennsylvania State University)
- Yuri Kifer
- Gerhard Knieper
- François Ledrappier (University of Notre Dame)
- Stefano Luzzatto
- John Mather
- Michal Misiurewicz
- Sheldon Newhouse
- Jacob Palis
- Mark Pollicott (University of Warwick)
- Omri Sarig
- Joerg Schmeling
- Domokos Szasz
- Jean-Paul Thouvenot
- Andrew Torok
- Ilie Ugarcovici
- Marcelo Viana (Institute of Pure and Applied Mathematics (IMPA))
- James Yorke
- Anton Zorich (Institut de Mathematiques de Jussieu)
The scope of the conference will be fairly wide, but it will emphasize specific problems in dynamical systems, smooth ergodic theory, and related topics, including differential geometry, group theory and number theory, to name a few, that have seen much progress, but where significant problems vital to the field remain open. Specific examples are the Katok entropy rigidity conjecture for geodesic flows of negatively curved manifolds, the Boltzmann ergodic hypothesis, Liouvillean phenomena, the construction of metrics with ergodic geodesic flow, smooth rigidity of actions of abelian groups of higher rank. This workshop will include a session to discuss open problems and to produce a list of these, with the intent of producing a concrete agenda for further research on several fronts. The following are some of the subjects related to dynamical systems that have seen outstanding advances recently, and that will be significant components of this workshop.
- Billiards, and the question of their hyperbolicity and ergodicity.
- The theory of partially hyperbolic systems and nonuniformly hyperbolic systems.
- The close relations between dynamical systems and differential (especially Riemannian) geometry.
- The significant interactions that have developed between dynamical systems and number theory.
- The extension of methods from the study of invariant measures for homogeneous and affine actions of higher rank abelian groups, initiated by Furstenberg's x2,x3-question, to other areas.
- The study of actions of lattices in semisimple Lie groups.
- The impact on statistical physics of Ruelle's work showing that a generalized Sinai--Ruelle--Bowen-state depends differentiably on the hyperbolic diffeomorphism for which it is defined.
The workshop will be held on the occasion of the 60th birthday of Anatole Katok. We will take this occasion to honor Katok during the conference for his significant influence on almost all areas in dynamical systems through his research, collaboration, teaching, organization and exposition. This workshop is sponsored by the Clay Mathematical Institute and hosted by MSRI. It also benefits from generous contributions from Tufts University and the Pennsylvania State University.Primary Mathematics Subject Classification No Primary AMS MSC Secondary Mathematics Subject Classification No Secondary AMS MSC
To apply for funding, you must register by the funding application deadline displayed above.
Students, recent Ph.D.'s, women, and members of underrepresented minorities are particularly encouraged to apply. Funding awards are typically made 6 weeks before the workshop begins. Requests received after the funding deadline are considered only if additional funds become available.
A block of rooms has been reserved at the Rose Garden Inn. Reservations may be made by calling 1-800-992-9005 OR directly on their website. Click on Corporate at the bottom of the screen and when prompted enter code MATH (this code is not case sensitive). By using this code a new calendar will appear and will show MSRI rate on all room types available.
A block of rooms has been reserved at the Hotel Durant. Reservations may be made by calling 1-800-238-7268. When making reservations, guests must request the MSRI preferred rate. If you are making your reservations on line, please go to this link and enter the promo/corporate code MSRI123. Our preferred rate is $129 per night for a Deluxe Queen/King, based on availability.
Additional lodging options (short term housing page - Short Term Housing
Sep 27, 2004
Sep 28, 2004
Sep 29, 2004
Sep 30, 2004
Oct 01, 2004