The school will focus on the study of periodic approximations as a tool to understand the ergodic properties of deterministic dynamical systems, and as a method of construction of examples (and counter-examples) of ergodic behavior, especially in dynamics related to quasi-periodic motion, such as perturbations of completely integrable systems, KAM theory, Arnol'd diffusion theory, quasi-periodic cocycles, Schrodinger equation, 1-dimensional complex dynamics around elliptic fixed points, etc.

The school will be aimed at students and young researchers and its goal is to provide them with the state of the art ideas and techniques of the included topics.

Organizers : Carlo Carminati (Pisa), Bassam Fayad (Paris 13), Anatole Katok (PSU), Raphael Krikorian (Paris 6), Stefano Marmi (Pisa).

Scientific committee : Hakan Eliasson (IMJ Paris), Giovanni Forni (Maryland University), Antonio Giorgilli (Milano), Jean-Christophe Yoccoz (College de France Paris).

The courses :

1) Periodic approximation in measurbale dynamics and surface homeomorphisms : Frederic Leroux (Orsay Univesity Paris).

2) Fast periodic approximations and constructions by successive conjugations. Bassam Fayad (Paris 13) and Anatole Katok (PSU).

3) Quasi-peridoic cocycles with Liuovillean frequencies. Raphael Krikorian (Paris 6) and Jairo Bochi (PUC Rio de Janeiro).

4) Julia sets with positive measure. Xavier Buff (Toulouse) and Arnaud Cheritat (Toulouse).

To register, participants are kindly requested to fill the on-line form : http://tinyurl.com/ygnft8o

and mention whether they will need financial support. It is important to note that the deadline for registrations asking for financial support is December 1st 2009, while registration without financial support requested is open until December 15.

The scope of the conference will be 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. We will honor Anatole Katok on the occasion of his 65^th

The conference will act as a catalyst for research in mathematics and its applications, providing a venue for established scholars to interact - not only with each other, but also with the junior scholars that will play an essential role now and in the years to come. Accordingly, there will be an emphasis on involving young mathematicians in dynamical systems.

Limited support for participants is expected to be available. Recent recipients of doctoral degrees, women, and members of traditionally underrepresented groups are particularly encouraged to apply.

For more information and registration please consult
https://web.archive.org/web/20130517182755/http://www.math.psu.edu/katok...

Scientific Program Committee
Boris Hasselblatt
Francois Ledrappier
Yakov Pesin
Jean-Paul Thouvenot
Jean-Christophe Yoccoz

Organizing Committee
Bassam Fayad
Raphael Krikorian
Patrice Le Calvez
Feliks Przytycki
Jean Francois Quint

All lectures will be at the Mathematics Department (McAllister building) at the Penn State University Park campus.

The second MICHAEL BRIN PRIZE in DYNAMICAL SYSTEMS will be awarded on Saturday, October 31. Saturday afternoon session will feature the award ceremony and two talks dedicated to the award winning work and other achievements of the winner.

WORKSHOP HIGHLIGHTS
Friday, October 30 afternoon session will feature four talks on recent advances in celestial mechanics and Hamiltonian dynamics.

Several full length talks will be given by very young mathematicians who will present their outstanding recent work.

This workshop has been hosted each fall since 1991 by Penn State University and each spring since 1992 by the University of Maryland, and is jointly sponsored by the two institutions. The basic funding of the workshop is provided by an NSF grant. Additional funding for this meeting, is provided by the Center for Dynamics and Geometry at Penn State.

Organizers:
Anatole Katok katok_a@math.psu.edu
Svetlana Katok katok_s@math.psu.edu

Requests for reimbursement of local expenses will be considered by the organizers. If you decided to participate in the conference, please, retrieve the Registration Form from the website at: https://math.psu.edu/dynsys/dw_archive/dw_2009.

If you plan to participate, please register online by filling the online form

Scientific Committee:
Louis Boutet de Monvel (Univ. Paris 6)
Dominique Cerveau (Univ. Rennes 1)
Stefano Marmi (SNS Pisa)
Takahiro Kawai (RIMS, Kyoto Univ.)

Organizing Committee:
Ovidiu Costin (Ohio State Univ.), costin@math.ohio-state.edu
Frederic Fauvet (Univ. Strasbourg), frederic.fauvet@gmail.com
Frederic Menous (Univ. Paris-Sud Orsay), Frederic.Menous@math.u-psud.fr
David Sauzin (CNRS Paris-SNS Pisa), sauzin@imcce.fr

Scientific themes:
- Local analytic dynamics
- Small denominator problems
- Divergent series, transseries, summability theories
- Resurgent functions, alien calculus, mould calculus
- Analytic PDEs
- Classification of singular geometric structures
- Applications to semi-classical quantum mechanics and perturbative Quantum Field Theory

CRM de Giorgi, affiliated with the Scuola Normale Superiore, is situated in the center of Pisa; an international airport, operating both regular and lowcost airlines is on the outskirts of the town. For practical information, see
http://www.crm.sns.it/informat ion.html

If you plan to attend the conference, we advise that you book your room far in advance (the staff of the CRM can, on request, provide  the registered participants with a list of hotels which have rates related to its activities; you may write to  crm@crm.sns.it or sauzin@imcce.fr).

Meals at the nearby Scuola Normale's cafeteria will be offered to all the participants. We might be able to provide financial support for the accommodation of some participants.

Please don't hesitate to contact any of us for additional information you might wish to have and feel free to communicate this announcement around you.

We very much look forward to seeing you next October, for this meeting on  Mathematics and Theoretical Physics in Tuscany!