Refreshments will be served during morning and afternoon breaks in the Alvin George Brush Gallery, just outside the lecture hall.

There will be two hours free (12:30 p.m. to 2:30 p.m.) on Friday and Saturday for lunch break.

Barry Mazur, Harvard University
An introductory lecture on the mathematics of Nick Katz

Benedict H. Gross, Harvard University
On the divisibility of Heegner divisor classes

Gerd Faltings, Max-Planck Institute
Higgs-bundles and p-adic Galois representations

Mark Kisin, University of Chicago
Flat deformation rings, moduli of  finite flat group schemes, and modularity

Christopher Hooley, Cardiff
The power-free values of polynomials

Philippe Michel, Univ. Montpellier II
Vertical vs. horizontal Sato/Tate

A. Johan deJong, M.I.T.
Period equals index in the Brauer group of a surface

Neal Koblitz, University of Washington
Elliptic Curve Cryptography

Helene Esnault, Univ.-GH Essen
Congruences for the number of rational points of varieties defined over finite fields

Jean-Benoit Bost, Univ. Paris-Sud
Analytic curves in algebraic varieties over number fields

Dinner to honor Nicholas Katz -- Prospect House

John Tate, University of Texas at Austin
Refining Gross

Pierre Deligne, Institute for Advanced Study
Multiplicative Convolution