Poincaré Conjecture: The only Millennium Prize Problems solved so far

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Recorded26 Mar 2025

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In the final episode, we explore the Poincaré Conjecture—the only Millennium Prize Problem that has been solved so far.At its core, the conjecture asks a deceptively simple question: how can we tell if a shape in three-dimensional space is essentially a stretched-out version of a sphere? Though it sounds simple, this problem sits at the heart of topology, the study of shapes and spaces, and has profound implications for understanding the very structure of the universe.After stumping mathematicians for over a century, it was finally cracked in 2003 by the enigmatic Grigori Perelman, who rejected both the million-dollar prize and global fame. Join us as we unravel the beauty of this groundbreaking solution and the fascinating story of the man who solved it.

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