I will discuss recent work, with Prakash Belkale, where we show the section ring for the pair (Bun, D) is finitely generated, for D the determinant of cohomology line bundle on the stack Bun=Bun_{SL(r)}(C) parameterizing principal SL(r)-bundles on a singular stable curve C.   While the result is independent of vector bundles of conformal blocks defined on the moduli space of stable curves, I’ll discuss a few applications to these bundles.