A high-level tour through the core ideas that defined 20th-century mathematics, guided by Sir Michael Atiyah. We explore the move from local to global, the rise of noncommutative structures, and the geometry–algebra dialogue that reshaped fields from topology to physics. From the mystery of finite simple groups and the monster group to the deep interplay with quantum physics, this episode offers math students a big-picture view of how these ideas connect, why they matter, and how they still shape research today.
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