  The Loop Quantum Gravity (LQG) program is briefly reviewed and one of its
main applications, namely the counting of black hole entropy within the
framework is considered. In particular, recent results for Planck size black
holes are reviewed. These results are consistent with an asymptotic linear
relation (that fixes uniquely a free parameter of the theory) and a logarithmic
correction with a coefficient equal to -1/2. The account is tailored as an
introduction to the subject for non-experts.
