Taniyama-Shimura conjecture
Conjetura de Taniyama-Shimura
- Date
- 1955-1957 · confidence high
- Place
- Tokyo and Nikkō, Japan
- Credited to
- Taniyama Yutaka and Shimura Gorō
- People
- 👤 Gorō Shimura1930–2019👤 Yutaka Taniyama1927–1958
- Field
- Knowledge & symbols
⚠️ Disputed: the sources disagree.
What was discovered
A conjecture that every elliptic curve over the rationals is modular. Its partial proof by Wiles established Fermat's Last Theorem.
Formulated at the Tokyo-Nikkō symposium (1955) and refined by Shimura; Weil helped spread it, so it is sometimes called the Shimura-Taniyama-Weil conjecture.
What it led to
- the proof of Fermat's Last Theorem (1994)
- the modularity theorem (2001)
- the Langlands programme