Homogeneous Flows, Moduli Spaces and Arithmetic

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CLAY MATHEMATICS INSTITUTE SUMMER SCHOOL 2007 Homogeneous Flows, Moduli Spaces and Arithmetic at the Centro di Ricerca Matematica Designed for graduate students and mathematicians within Ennio De Giorgi, Pisa, Italy five years of their PhD, 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 a 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 Photo: Peter Adams and one week of mini-courses focusing on more advanced topics. June 11th to July 6th 2007 Lecturers to include: Organizing Committee Nalini Anantharaman, Artur Avila, Manfred Einsiedler, Alex Eskin, Manfred Einsiedler, David Ellwood, Alex Eskin, Dmitry Kleinbock, Elon Svetlana Katok, Dmitry Kleinbock, Elon Lindenstrauss, Shahar Mozes, Lindenstrauss, Gregory Margulis, Stefano Marmi, Peter Sarnak, Hee Oh, Akshay Venkatesh, Jean-Christophe Yoccoz Jean-Christophe Yoccoz, Don Zagier Foundational Courses Graduate Postdoctoral Funding Unipotent flows and applications Funding is available to graduate students and postdoctoral fellows (within 5 Alex Eskin & Dmitry Kleinbock years of their PhD). Standard support amounts will include funds for local expenses and accommodation plus economy travel. Diagonalizable actions and arithmetic applications For additional information, see www.claymath.org/summerschool Manfred Einsiedler & Elon Lindenstrauss or write to [email protected] Interval exchange maps and translation surfaces Jean-Christophe Yoccoz Application Procedure Application forms are available at: www.claymath.org/summerschool Interested participants should send the completed form along with a letter of recommendation from either their mathematical adviser or a senior mathematician. Completed application forms will be accepted by mail or fax. The application deadline is February 28, 2007. Mailing address: Clay Mathematics Institute Summer School One Bow Street Cambridge, MA 02138 USA CLAY Fax: 617 995 2660 MATH CLAY MATHEMATICS INSTITUTE • ONE BOW STREET, CAMBRIDGE, MA 02139 USA • T. 617 995 2600 • F. 617 995 2660 • WWW.CLAYMATH.ORG CENTRO DI RICERCA MATEMATICA ENNIO DE GIORGI • PIAZZA DEI CAVALIERI, 3, I-56100 PISA • T. +39 (050) 509178 • WWW.CRM.SNS.IT.

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Diagonalizable Flows on Locally Homogeneous Spaces and Number
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Notices of the Ams 421
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