  We study local opers with two singularities for the case of the Lie algebra
sl(2), and discuss their connection with a two-variables extension of the
affine Lie algebra. We prove an analogue of the Feigin-Frenkel theorem
describing the centre at the critical level, and an analogue of a result by
Frenkel and Gaitsgory that characterises the endomorphism rings of Weyl modules
in terms of functions on the space of opers.
