纪录片《费马最后的定理》 第12期 两者之间的关联（在线收听）

Taniyama-Shimura went on to become one of the great unproven conjectures.

谷山-志村猜想仍旧是一个未经验证的大猜想。

But what did it have to do with Fermat's last theorem?

但它和费马最后定理间有什么关系？

At that time no-one had any idea that Taniyama-Shimura could have anything to do with Fermat.

那时没人会想到谷山-志村猜想会和费马有什么关联。

Of course in the '80s that all changed completely.

当然到了80年代，一切都完全变了。

Taniyama-Shimura says: every elliptic curve is modular and Fermat says: no numbers fit this equation.

谷山-志村猜想说：每条椭圆曲线都是模；而费马说：没有满足这个等式的数。

What was the connection?

其关联是什么?

Well, on the face of it the Shimura-Taniyama conjecture which is about elliptic curves,

表面上看来，谷山-志村猜想是关于椭圆曲线的，

and Fermat's last theorem have nothing to do with each other

而费马最后定理与它没有关系，

because there's no connection between Fermat and elliptic curves.

因为费马和椭圆曲线之间没有关联。

But in 1985 Gerhard Frey had this amazing idea.

但在1985年，格尔哈德·弗莱有了这个了不起的想法。

Frey, a German mathematician, considered the unthinkable:

弗莱，一个德国数学家，考虑的是不可想象的可能:

what would happen if Fermat was wrong and there was a solution to this equation after all?

如果费马有误，这个等式根本就有解的话会如何呢？