Explore the intricacies of determinantal point processes in this advanced mathematics lecture delivered by Alexander Bufetov from the Institut de Mathematiques de Marseille, France. Delve into key concepts such as conditional measures, sign processes, and Gamma kernels. Gain insights into Palm measures and infinite determinantal measures. Part of the School and Workshop on Random Matrix Theory and Point Processes, this in-depth talk offers a comprehensive examination of cutting-edge mathematical theories and their applications.