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This lecture, the second in a series, explores the Minimal Model Program for foliations in algebraic geometry, presented by Calum Spicer at the Centre International de Rencontres Mathématiques in Marseille, France. Delve into how the classification framework for algebraic varieties has been adapted to study foliations on projective surfaces, a concept pioneered by Brunella, Mendes, and McQuillan in the early 2000s. Learn about recent developments in minimal model theory for foliations on higher-dimensional projective varieties, with special focus on three well-developed cases: rank one foliations, co-rank one foliations, and algebraically integrable foliations. Discover the concept of adjoint foliated structures as a solution to unique challenges in applying minimal model techniques to foliations. This one-hour recording from the February 2024 thematic meeting on "Foliations, birational geometry and applications" is available in CIRM's Audiovisual Mathematics Library, featuring helpful functionalities like chapter markers, keywords, abstracts, and bibliographies.
