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Explore the landscape of algebraic threefolds following the completion of the Minimal Model Program in this 58-minute conference talk by Meng Chen at BIMSA's ICBS2025. Delve into the structural theory and classification results for three-dimensional algebraic varieties after the groundbreaking achievements of the MMP, examining how these developments have transformed our understanding of birational geometry. Learn about the key techniques, recent advances, and open problems in the field of algebraic threefolds, with particular emphasis on how the completion of the Minimal Model Program has provided new tools and perspectives for studying these complex geometric objects.
