Angela Gibney

Abstract:   Fulton and MacPherson discovered X[n], a natural compactification of the configuration space of n distinct labeled points on a nonsingular algebraic variety X. In their paper [Annals of Math 139 (1994), 183--225], they define the spaces X[n] and among other things, give presentations of their intersection rings. In this talk, following an introduction to the spaces X[n], I will give an explicit presentation of the Chow groups of the X[n] in terms of the Chow groups of X and the boundary divisors. In case X is a cellular variety defined over the complex numbers, the presentation is even simpler, depending only on X[m] for m < n and new configuration spaces T_d,n which generalize the moduli space of pointed stable curves of genus zero. I will describe these spaces showing in particular that T_1,n is isomorphic to M^--_0,n+1. This talk is about joint work between myself, L. Chen and D. Krashen.

Here are some directions to Northeastern University. Lake Hall can be best accessed from the entrance on the corner of Greenleaf Street and Leon Street.