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).

The seminar on Combinatorics and Theoretical Computer Science at the Institute for Advanced Study will take place every
Monday at 11 a.m. in room 101, the seminar room in Simonyi Hall.

• Monday, 27 September 1999
  Michael Saks, Rutgers University
  An Improved Exponential-time Algorithm for k CNF Satisfiability
  Abstract:

During the academic year 2006-07, the School of Mathematics will have a special program on algebraic geometry. We don't want to focus on any single aspect, but rather aim to have many flavors of algebraic geometry and its applications represented, including (not exhaustive list) cohomology theories, motives, moduli spaces, Shimura varieties, complex or p-adic analytic methods and singularities.

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