  In this note we overview recent convergence results for correlations in the
critical planar nearest-neighbor Ising model. We start with a short discussion
of the combinatorics of the model and a definition of fermionic and spinor
observables. After that, we illustrate our approach to spin correlations by a
derivation of two classical explicit formulae in the infinite-volume limit.
Then we describe the convergence results (as the mesh size tends to zero, in
arbitrary planar domains) for fermionic correlators, energy-density and spin
expectations. Finally, we discuss scaling limits of mixed correlators involving
spins, disorders and fermions, and the classical fusion rules for them.
