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Duality In Mathematics And Physics [Atiyah] - mklabgr - 07-04-2026
Duality In Mathematics And Physics∗
by Sir Michael F. Atiyah
Summary
This article discusses a lecture by Sir Michael Atiyah on the Riemann Hypothesis, one of the most celebrated problems in mathematics because of its deep connection to the distribution of prime numbers. Rather than presenting only the hypothesis itself, Atiyah reflects on the broader mathematical ideas that surround it, including symmetry, duality, geometry, and the surprising links between seemingly unrelated areas such as algebraic geometry and theoretical physics.
He explains how modern mathematics often uncovers profound connections that allow difficult problems to be understood through simpler or more familiar concepts, illustrating the elegance and unity of the subject. The lecture offers readers an inspiring glimpse into the creative side of mathematical research, showing that the pursuit of fundamental truths is driven not only by solving famous problems but also by discovering the hidden patterns that connect different branches of mathematics.
ARTICLE