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Explore the intricacies of determinantal point processes in this comprehensive lecture delivered by Alexander Bufetov from the Institut de Mathematiques de Marseille, France. Delve into the fundamental concepts and applications of this mathematical theory as part of the School and Workshop on Random Matrix Theory and Point Processes. Gain valuable insights into the first part of this topic, laying the groundwork for a deeper understanding of determinantal point processes and their relevance in various mathematical fields.