Loop Quantum Gravity - a Review

The quantization of gravity has remained one of the most important unsolved problems in physics. Several attempts have been developed over the past about 100 years. One of the major ones is loop quantum gravity, introduced 25 years ago. It first reformulates canonical gravity using Ashtekar variables as a gauge field theory with constraints, which is quantized a la Dirac. The kinematics of the resulting quantum theory is well understood. Moreover, there has been significant progress in highly symmetric situations like cosmology. Nevertheless, the dynamics of the theory has remained widely open. My talk is planned to review both some known and some unknown aspects of the theory.