Explore the applications of bootstrap methods in Quantum Chromodynamics (QCD) through this comprehensive lecture by Martin Kruczenski at the International Centre for Theoretical Sciences. Delve into topics such as positivity, the single plaquette model, and loop equations. Examine the work of Henry Lin and investigate the Migdal-Makeenko equation in lattice gauge theory. Learn about positivity constraints in large-N cubic lattice models and the concept of gradient flow in relation to loop equations. Gain insights into cutting-edge research in nonperturbative approaches to quantum gravity, string theory, and holography as part of a broader program bringing together experts in lattice field theory, string theory, and quantum gravity.