Past Algebraic Geometry Seminar

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.

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.