3:45PM: A new residual intersection phenomenonDavid EisenbudResidual intersection theory works well for ideals like the ideal of pxp minors of a generic p x (p+1) matrix, but fails for some very nice ideals, such as the ideal of 2 x 2 minors of a 2 x n matrix for n greater than 3. Poking around for what might be true, Bernd Ulrich and I stumbled on a new phenomenon that seems to be rather general. We are far from proving all that seems to be true, but I'll describe our conjectures and results, which at least cover the 2 x n matrices. This is joint work of mine with Bernd Ulrich and Craig Huneke.

5:00PM: Applications of the Excess intersection formulaIrit HuqKuruvillaIn this talk, we introduce the excess intersection formula and use it to compute the number of cubics tangent to 5 given ones. If there is more time, we will discuss intersections of surfaces in a curve and discrete points.
