Explore the intricacies of realization spaces of polytopes and oriented matroids in this 59-minute conference talk delivered by Arnau Padrol at the Centre International de Rencontres Mathématiques in Marseille, France. Delve into current trends in representation theory, cluster algebras, and geometry as part of the thematic meeting held on November 30, 2023. Access the recording through CIRM's Audiovisual Mathematics Library, which offers enhanced features such as chapter markers, keywords, abstracts, bibliographies, and Mathematics Subject Classification. Utilize the multi-criteria search function to discover related content by author, title, tags, or mathematical area. Benefit from the expertly filmed presentation by Guillaume Hennenfent, providing a clear view of this cutting-edge mathematical discourse.