special year

special year

Symplectic Dynamics

Mon, 09/19/2011 (All day) to Wed, 08/15/2012 (All day)
2011-2012

The mathematical theory of dynamical systems provides tools to understand the complex behavior of many important physical systems.  Of particular interest are Hamiltonian systems.  Since Poincaré's fundamental contributions many mathematical tools have been developed to understand such systems.  Surprisingly these developments led to the creation of two seemingly unrelated mathematical disciplines: the field of dynamical systems and the field of symplectic geometry.  In view of the significant advances in both fields, it seems timely to have a program that aims at the development of the com

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A1-Homotopy Theory and its Recent Developments

Mon, 01/11/2010 (All day) to Fri, 04/09/2010 (All day)
(2009-2010)

There will be a small program during the second term (spring) of the 2009-2010 year on A1-Homotopy Theory and its recent developments.  Two directions will be emphasized during this program: the proof of Bloch-Kato conjecture on Galois cohomology and related applications, following the work of Rost and Voevodsky, as well as recent geometric applications of A1-homotopy to the study of smooth proper varieties over a field, especially those which are involving the A1-fundamental group of A1-connected varieties.

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Analytic Number Theory

Tue, 09/01/2009 (All day) to Wed, 06/30/2010 (All day)
(2009-2010)

During the academic year of 2009-2010, Enrico Bombieri of the School and Peter Sarnak of Princeton University/Institute for Advanced Study will lead a program on analytic number theory.

 The program will have an emphasis on analytic aspects, and particular topics that will be covered include the distribution of prime numbers, sieves, L functions, special sequences as well as additive and combinatorial methods, exponential sums, spectral analysis and modular forms.

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