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Explore a comprehensive lecture on the generalisations of Schanuel's conjecture presented by Patrice Philippon from the Institut de Mathématiques de Jussieu-Paris Rive Gauche. Delve into advanced number theory concepts as part of the 2023-2024 Fields Number Theory Seminar series. Gain insights into this complex mathematical topic through a one-hour presentation that challenges and expands understanding of algebraic independence and transcendence theory.