special year

special year

Galois Representations and Automorphic Forms

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


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.


$A^1$-Homotopy Theory and Its Recent Developments

Mon, 01/11/2010 (All day) to Fri, 04/09/2010 (All day)

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.


New Connections of Representation Theory to Algebraic Geometry and Physics

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

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.


Analytic Theory of Automorphic Forms and L-Functions

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

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:


Symplectic Geometry and Holomorphic Curves

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

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.


Algebraic Geometry

Fri, 09/01/2006 (All day) to Fri, 06/01/2007 (All day)

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.


Lie Groups, Representations and Discrete Mathematics

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

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 ($\lambda_1 > 3/16$).


Geometric Partial Differential Equations

Mon, 09/01/1997 (All day) to Tue, 06/30/1998 (All day)

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: