Dive into the world of Determinantal Point Processes (DPPs) in this comprehensive two-hour seminar presented by John C Urschel at the Institute for Advanced Study. Explore the fundamental concepts, definitions, and applications of DPPs across various fields, including random matrix theory, combinatorics, and machine learning. Gain insights into positive probability, ensembles, and projection matrices while examining well-known examples and key results. Investigate the properties of DPPs, such as self-adjointness, symmetry, and loop-free characteristics. Analyze the probabilistic aspects and entry-level concepts of this fascinating topic in computer science and discrete mathematics.