Past Algebraic Geometry Seminar

28 March 2007
David Eisenbud, MSRI
    One natural question in interpolation theory is: given a finite set of points in R^n, what is the least degree of polynomials on R^n needed to induce every function from the points to R? It turns out that this "interpolation degree" is closely related to a fundamental measure of complexity in algebraic geometry called Castelnuovo-Mumford regularity. I'll explain these ideas a new application to projections of varieties.  
  • Algebraic Geometry Seminar
13 February 2007
Tom Bridgeland
I'll start with the definition of a stability condition on a triangulated category and say a bit about the space of stability conditions. Then I'll describe some known examples of these spaces. If I have time I'll try to explain why mirror symmetry suggests that it should be possible to equp these spaces with interesting geometric structures.
  • Algebraic Geometry Seminar