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Diophantine problems in number theory are among some of the easiest to state, and the most difficult to prove. However, spectacular progress has been made on some of these problems by translating them to the theory of dynamical systems. I will explain some of these connections, including the Oppenheim conjecture, Littlewood’s conjecture, and the arithmetic of elliptic curves.

This talk is part of the The Archimedeans (CU Mathematical Society) series.

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