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Edward Frenkel: Revolutionary Math Proof No One Could Explain...Until Now

Theories of Everything with Curt Jaimungal

CHAPTER

Exploring Elliptic Curves and Number Theory

This chapter examines the relationship between elliptic curves, prime numbers, and modular forms through the lens of significant mathematical conjectures, particularly the Shimura-Taniyama conjecture. It highlights the collaborative historical efforts in the 1950s that shaped these concepts, as well as the profound implications for number theory, including connections to Fermat's Last Theorem. The discussion also emphasizes the expansive reach of the Langlands program and its role in integrating disparate mathematical areas.

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