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.
by Vladimir Voevodsky,
Wed. 11am in Dilworth Room (first lecture Oct. 10)
During the 2007-08 academic year, Roman Bezrukavnikov of MIT will lead a special program on algebraic geometry and physics in representation theory.
The activity in Combinatorics and Theoretical Computer Science at the Institute for Advanced Study will resume on Monday, September 29.
It will take place on Mondays, and will include:
The Combinatorics and Complexity Theory Seminar - Mondays 11 am, starting September 29.
A mini-course on Computational Pseudo-Randomness- Mondays 2 pm, starting October 6
Mini Conference December 10-12th
During term I of the year, School faculty member Jean Bourgain and Van Vu of Rutgers University will lead a program on arithmetic combinatorics. The following is preliminary information about the program.
Organizer: Alice Chang (Princeton University)
During the academic year 2000-2001, the School of Mathematics will host a special program on computational complexity theory at the Institute for Advanced Study. Several senior researchers will be in residence at the Institute for the year, and we expect a large number of junior visitors and post-doctorate fellows. Some topics on which special focus is planned are:
During the academic year of 2009-2010, Enrico Bombieri of the School and Peter Sarnak of Princeton University/Institute for Advanced Study will lead a program on analytic number theory.
The program will have an emphasis on analytic aspects, and particular topics that will be covered include the distribution of prime numbers, sieves, L functions, special sequences as well as additive and combinatorial methods, exponential sums, spectral analysis and modular forms.
A1-homotopy theory is the homotopy theory for algebraic varieties and more generally for schemes which is based on the analogy between the affine line and the unit interval. During this year we will concentrate on two topics. One is the extension of the existing theory of triangulated motives from varieties over fields to general schemes. The main remaining problem there can be reformulated in terms of the A1-homotopy theory as the problem of finding a good recognition principle for T-loop spaces.