Explore the intricacies of covariant phase space with boundaries in this comprehensive lecture by Daniel Harlow from the Institute for Advanced Study. Delve into key concepts such as field theory, configuration space, prephase space, phase space, and the Hamiltonian. Examine the consistency condition, work through an illustrative example, and analyze important properties. Learn how to construct the Hamiltonian and understand its covariant nature. Gain valuable insights into this complex topic through a structured presentation that covers general ideas, specific applications, and thought-provoking questions.