To celebrate Yakov Pesin's 60^th birthday, the Conference "Nonuniformly Hyperbolic Dynamics and Smooth Ergodic Theory" will be held in Lisbon in June 25-29, 2007. You are cordially invited to participate.

Topics will include the subjects of his landmark works and those on which he exerted the strongest influence (including nonuniform hyperbolicity, smooth ergodic theory, partial hyperbolicity, thermodynamic formalism, dimension theory in dynamics, and related subjects).

In addition to the purely mathematical talks, Anatole Katok will speak with some recollections on the Moscow mathematical school in the seventies, early stages of Yakov Pesin's mathematical career and early
impact of his work.

Organizers: Luis Barreira and Anatole Katok

The CMI school will take place within the framework of a research trimester on dynamical systems and number theory at the De Giorgi Center. The trimester begins on Apr 16. Please refer to the De Giorgi Center for more information about the trimester  (www.crm.sns.it).

Summer School Program Description

Designed for graduate students and mathematicians within five years of their Ph.D., the program is an introduction to the theory of flows on homogeneous spaces, moduli spaces and their many applications.

These flows give concrete examples of dynamical systems with highly interesting behavior and a rich and powerful theory. They are also a source of many interesting problems and conjectures. Furthermore, understanding the dynamics of such concrete system lends to numerous applications in number theory and geometry regarding equidistributions, diophantine approximations, rational billiards and automorphic forms.

The school will consist of three weeks of foundational courses and one week of mini-courses focusing on more advanced topics.

Foundational Courses

The following 3 week lecture series will be held:

     ● "Unipotent flows and applications" Alex Eskin & Dmitry Kleinbock
     ● "Diagonalizable actions and arithmetic applications" Manfred Einsiedler & Elon Lindenstrauss
     ● "Interval exchange maps and translation surfaces" Jean-Christophe Yoccoz

Shorter courses will be given by Svetlana Katok and Shahar Mozes. Advanced minicourse will be given by Nalini Anantharaman, Artur Avila, Hee Oh, Akshay Venkatesh and others.

To celebrate the achievements and birthdays of John Cardy, Juerg Frohlich and Tom Spencer.

A tentative partial list of speakers:

M. Aizenman, N. Andrei, G. Ben-Arous, W. Bialek, A. Bovier, L. Bunimovich, A. Chakraborty, M. Disertori, M. Douglas, P. Fendley, R. Fernandez, J. Garrahan, G. Giacomin, S. Goldstein, F. Guerra,
F. Hansen, J. Harnad, E. Heller, K. Hepp, A. Jaffe, A. Klein, H. Koch, U. Landman, G. Lawler, E. Lieb, A. Libchaber, A. Ludwig, G. Mussardo, L. Pastur, H. Pinson, B. Schlein, T. Seppalainen, Y. Sinai, B. Simon, S. Smirnov U. Tauber, B. Vollmayr-Lee, P. Wiegmann, H.T. Yau, S. Zamolodchikov, R. Ziff, M. Zurnbauer.

The primary goal of this trimester is to provide a state of the art description of the subject of interaction between dynamics and number theory accessible both to young mathematicians wishing to do research in this area and to professional mathematicians from both disciplines interested in learning some of the most recent developments in the field.

In the framework of the research programme, it will take place the Clay Research Summer School at the Centro di Ricerca Matematica "Ennio De Giorgi" (Pisa, Italy) June 11th to July 6th 2007

The Clay Mathematics Institute will conduct its annual summer school for 2007 at the De Giorgi Mathematics Research Center in Pisa, Italy, from June 11th to July 6th 2007. The topic is "Homogeneous flows, moduli spaces, and arithmetic." Designed for graduate students and mathematicians within five years of their Ph.D., the program is an introduction to the theory of flows on homogeneous spaces and moduli spaces. These flows define concrete dynamical systems whose complex and subtle behavior leads to a rich theory, many interesting problems and conjectures, and a wealth of applications to number theory and geometry, e.g., equidistribution, diophantine approximation, rational billiards, and automorphic forms.

The school will consist of three weeks of foundational courses and one week of mini-courses focusing on more advanced topics. During the first three weeks there will be three long courses, of 14 lectures each, by Alex Eskin and Dmitry Kleinbock, Jean-Christophe Yoccoz, Manfred Einsiedler and Elon Lindenstrauss.

Organizing Committee: Manfred Einsiedler (Ohio State University), David Ellwood (Clay Mathematics Institute), Alex Eskin (University of Chicago), Dmitry Kleinboc (Brandeis University), Elon Lindenstrauss (Princeton University), Gregory Margulis (Yale University), Stefano Marmi (Scuola Normale Superiore Pisa), Peter Sarnak (Princeton University), Jean-Christophe Yoccoz: (College de France), Don Zagier (Max Planck Institut, Bonn and College de France).