## Algebraic Geometry Seminar

Eric Riedl

UIC

Normal bundles of rational curves in projective space

**Abstract:**Given a rational curve C in projective space, the normal bundle is an object that controls the deformations of C. Given a fixed vector bundle E, one can ask: What is the moduli space of rational curves with normal bundle E? Eisenbud and Van de Ven conjectured that these spaces are irreducible, but in joint work with Coskun, I show that this is not the case as soon as the dimension of projective space is at least 5.

Wednesday February 15, 2017 at 4:00 PM in SEO 427