Explore the intricacies of Lie groupoids and their relationship to orbit spaces in this 25-minute lecture by David Miyamoto from the Max Planck Institute for Mathematics. Delve into the mathematical concepts that underpin how Lie groupoids are determined by their orbit spaces, gaining insights into this advanced topic in Hamiltonian geometry. Attend this thought-provoking talk on July 18, 2024, as part of the Fields Institute's program on Hamiltonian Geometry.