During the 2017-18 academic year, the School will have a special program on Locally Symmetric Spaces: Analytical and Topological Aspects. Akshay Venkatesh of Stanford University will be the Distinguished Visiting Professor.
During the 2016-17 academic year, the School will have a special program on Homological Mirror Symmetry. Paul Seidel, from MIT, will be the Distinguished Visiting Professor. Maxim Kontsevich, from IHES, will be attending the program for one month during each of the fall and spring terms (from mid-October to mid-November, and for the month of February). Denis Auroux, from UC Berkeley, will be attending for the spring term.
During the 2015-16 academic year, the School will have a special program on Geometric Structures on 3-manifolds, and Ian Agol of the University of California, Berkeley, will be the Distinguished Visiting Professor.
The Topology of Algebraic Varieties, 2014-15
Non-equilibrium Dynamics and Random Matrices, 2013-14
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 the development of the com
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 varieties.
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.