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 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.

During the academic year 2004-2005 the School of Mathematics will host a program on the Bloch-Kato conjecture relating Milnor's

The following is a list of seminars that were given in Term I and Term II:

• Monday, 28 September 1998
  Dana Ron, MIT
  A sublinear bipartite tester for bounded-degree graphs
  Abstract:

   

• Monday, 5 October 1998
  Luca Trevisan, Columbia University and DIMACS
  Construction of near-optimal extractors using pseudo-random generators
  Abstract:

   

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 (lambda₁ is greater than 3/16).