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Shimura-Taniyama-Weil Conjecture

Statement

The Taniyama-Shimura conjecture, now proved, posited that there exists a modular form of weight two and level N which is an eigenform under the Hecke operators and has a Fourier series sum_(n=1)^∞a_nq^n.

Alternate names

modularity theorem | Shimura-Taniyama conjecture | Shimura-Taniyama-Weil conjecture

History

formulation date | 1955 (70 years ago)
formulators | Yutaka Taniyama | Goro Shimura
status | proved
proof date | 2001 (46 years later) (24 years ago)
provers | Christophe Breuil | Brian Conrad | Fred Diamond | Richard Taylor
additional people involved | André Weil

Classes

proved conjectures | solved mathematics problems | mathematics theorems

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