Near the horizon of an extreme Kerr black hole, dynamics are governed by conformal symmetry. This symmetry can be used as a powerful computational tool that allows some of the numerical astrophysical computations to be done analytically. I’ll be discussing the example of iron line emissions from the accretion disks of extreme Kerr black holes. Since such emissions concentrate on the innermost regions of the disks and large redshifts broaden the spectrum, we can provide an analytical prediction of the flux using the symmetry. Further, the analytical understanding of light trajectories from such near horizon regions can be exploited in analysing a number of potentially observable processes.