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Explore the intricacies of Fukaya categories in this illuminating lecture delivered by Mohammed Abouzaid from Columbia University. Delve into advanced mathematical concepts and their applications as the speaker presents a comprehensive overview of this complex topic. Gain insights into the latest developments in the field and enhance your understanding of algebraic structures in symplectic geometry. Suitable for graduate students and researchers in mathematics, this talk offers a deep dive into the theoretical foundations and current research directions related to Fukaya categories.