  For a simple Lie algebra g we consider an analogue of the affine algebra ^gk
with n singularities, defined starting from the ring of functions on the
n-pointed disk. We study the center of its completed enveloping algebra and
prove an analogue of the Feigin-Frenkel theorem in this setting. In particular,
we first give an algebraic description of the center by providing explicit
topological generators; we then characterize the center geometrically as the
ring of functions on the space of G^L-Opers over the n-pointed disk. Finally,
we prove some factorization properties of our isomorphism, thus establishing a
relation between our isomorphism and the usual isomorphism of Feigin-Frenkel.
