Harvard-MIT Algebraic Geometry Seminar April 30, 2002 at 3:00 p.m. Harvard Room 507 Rational Families of Vector Bundles on Curves Ana-Maria Castravet (MIT) Abstract: We find and describe the irreducible components of the space of rational curves on moduli spaces of rank 2 stable bundles with odd determinant on curves of genus g >= 2. We also find the maximally rationally connected fibrations of these components.