Modularity theorem

Sources

1. BookFermat’s Last Theorem
2. ArticleOn the modularity of elliptic curves over Q: wild 3-adic exercises
3. ArticleModular elliptic curves and Fermat’s Last Theorem

Relations

conjectured by:

• Goro Shimura

  Sources: Fermat’s Last Theorem, Yutaka Taniyama and his time: very personal recollections

• Yutaka Taniyama

  Sources: Fermat’s Last Theorem, Yutaka Taniyama and his time: very personal recollections

proved by:

• Andrew Wiles

  The semistable case.

  Sources: Modular elliptic curves and Fermat’s Last Theorem, Fermat’s Last Theorem

• Brian Conrad

  Sources: On the modularity of elliptic curves over Q: wild 3-adic exercises, Fermat’s Last Theorem

• Christophe Breuil

  Sources: On the modularity of elliptic curves over Q: wild 3-adic exercises, Fermat’s Last Theorem

• Fred Diamond

  Sources: On the modularity of elliptic curves over Q: wild 3-adic exercises, Fermat’s Last Theorem

• Richard Taylor

  Sources: On the modularity of elliptic curves over Q: wild 3-adic exercises, Fermat’s Last Theorem

Appears in6 items

• 
  Fermat’s Last Theorem6 items
  • The modular roadSep 1955
  • Taniyama’s problems at Tokyo–NikkōSep 1955
  • Taniyama dies17 Nov 1958
  • Frey’s curvec. 1985
  • Ribet closes the hole1986
  • The whole conjecture falls2001