special year
Non-equilibrium Dynamics and Random Matrices
Non-equilibrium Dynamics and Random Matrices, 2013-14
Symplectic Dynamics
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
Galois Representations and Automorphic Forms
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.
A1-Homotopy Theory and its Recent Developments
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 vari
Analytic Theory of Automorphic Forms and L-Functions
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:
Geometric Representation Theory
During the 1998-99 academic year, George Lusztig will be the School's Distinguished Visiting Professor and will lead a program in geometric methods in representation theory. We also expect that Hiraku Nakajima will be in residence for at least part of the year.