## Conformal Blocks and Rational Normal Curves

Noah Giansiracusa, Brown

We present a result that the Chow quotient parametrizing configurations of n
points in P^d which generically lie on a rational normal curve is isomorphic
to M_{0,n}, generalizing the well-known d=1 result of Kapranov. The
corresponding GIT quotients, for symmetric linearization, are related to
certain line bundles coming from the genus zero WZW model in conformal field
theory. A representation-theoretic symmetry is manifest as the classical
Gale transform in this setting.