special year
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
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.
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
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:
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.
During the academic year 1997-98, there will be a full year program in Geometric PDE at the Institute. Karen Uhlebeck will be in residence as Distinguished Visiting Professor for the year, and she will serve as primary organizer of the program.
The following is Karen Uhlenbeck's statement about the organization and goals of this program:
MATHEMATICS AND FINANCE
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.
During the 2002-2003 academic year IAS will conduct a program in statistical models of turbulence. Weinan E and Gregory Falkovich will be in residence for the year, and in related areas, John Ball will also be at the Institute.
Although the problem of 3 dimensional turbulence has been extensively studied over the past century, our mathematical understanding of important issues such as regularity, intermittencey and coherent structures is still primitive.
The following is a list of seminars that were given in Term I and Term II:
