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 d

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Galois Representations and Automorphic Forms

Mon, 09/20/2010 (All day) to Fri, 04/08/2011 (All day)
(2010-2011)

 

During the 2010-2011 academic year, Richard Taylor of Harvard University will be the School's Distinguished Visiting Professor.  He will lead a program on Galois Representations and Automorphic Forms.

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$A^1$-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 $A^1$-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 $A^1$-homotopy to the study of smooth proper varieties over a field, especially those which are involving the $A^1$-fundamental group of $A^1$-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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Lie Groups, Representations and Discrete Mathematics

Thu, 09/01/2005 (All day) to Mon, 05/01/2006 (All day)
(2005-2006)

In recent years new and important connections have emerged between discrete subgroups of Lie groups, automorphic forms and arithmetic on the one hand, and questions in discrete mathematics, combinatorics, and graph theory on the other. One of the first examples of this interaction was the explicit construction of expanders (regular graphs with a high degree of connectedness) via Kazhdan's property (T) or via Selberg's theorem ($\lambda_1 > 3/16$).

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New Connections of Representation Theory to Algebraic Geometry and Physics

Sat, 09/01/2007 (All day) to Sun, 06/01/2008 (All day)
(2007-2008)

During the 2007-08 academic year, Roman Bezrukavnikov of MIT will lead a special program on algebraic geometry and physics in representation theory.

The focus of the year will be on related recent developments in representation theory, algebraic geometry and physics.

The first conference, "Gauge Theory and Representation Theory", will be held during the week of November 26-30, 2007.

The second conference, "Algebro-Geometric Derived Categories and Applications", will be held during term II from March 10-14, 2008.

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Analytic Theory of Automorphic Forms and L-Functions

Wed, 09/01/1999 (All day) to Fri, 06/30/2000 (All day)
(1999-2000)

During this academic year, Henryk Iwaniec and Peter Sarnak will be in residence at the Institute for Advanced Study and there will be a program with the purpose to bring together specialists in analytic number theory and specialists in the analytic theory of automorphic forms. John Friedlander and Dinakar Ramakrishnan will also be in residence for the academic year and Dennis Hejhal will be here for a term. Some topics to be covered are:

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Symplectic Geometry and Holomorphic Curves

Sat, 09/01/2001 (All day) to Sun, 06/30/2002 (All day)
(2001-2002)

The goal of the program is to explore different aspects of the theory of holomorphic curves and their interaction. A special accent will be made on applications to Symplectic geometry in low-dimensional topology.

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