評論
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I think it will always stand as one of the high achievements of number theory.
我認為這將一直是數論領域中的最高成就之一。
It was magnificent.
太了不起了
It's not every day that you hear the proof of the century.
不是每一天都能聽說到世紀之證明的
Well my first reaction was: I told you so.
我第一反應就是：我告訴過你。
The Taniyama-Shimura conjecture is no longer a conjecture,
谷山-志村猜想不再是個猜想，
and as a result Fermat's last theorem has been proved.
結局就是費馬的最后定理終被證明。
But is Andrew's proof the same as Fermat's?
但安德魯的證明和費馬的是一樣的嗎？
Fermat couldn't possibly have had this proof. It's a 20th-century proof.
費馬不可能有這樣的證明，因為這是個20世紀的證明。
There's no way this could have been done before the 20th-century.
而這不可能在20世紀之前就可得以做到。
I'm relieved that this result is now settled.
這個結果現終取得，我感到釋然。
But I'm sad in some ways because Fermat's last theorem has been responsible for so much.
但在某些方面又難過，因為費馬最后定理如此意義菲然。
What will we find to take its place?
我們將找到什么來取代它的位置呢？
There's no other problem that will mean the same to me.
沒有其它的難題對我來說具有同等意義
I had this very rare privilege of being able to pursue in my adult life what had been my childhood dream.
我有過這難得的榮幸，能夠在我的成年年歲中追尋我兒時的夢想。
I know it's a rare privilege but if one can do this it's more rewarding than anything I could imagine.
我知道那是難得的榮幸，但如果可做成，就將比我所能想象的任何事情都有價值。
One of the great things about this work is it embraces the ideas of so many mathematicians.
這項工作中了不起的一件事就是，它包涵了如此多數學家的思想。
I've made a partial list: Klein, Fricke, Hurwitz, Hecke, Dirichlet, Dedekind...
我列出個不完整的名單：克萊茵，弗里克，胡爾維茨，赫克，狄利克萊，戴德金...
The proof by Langlands and Tunnell... Deligne, Rapoport, Katz...
包括朗蘭茲和圖內爾，德里格內，拉波波特，凱茲的證明...
Mazur's idea of using the deformation theory of Galois representations...
包括梅休爾使用伽羅華表示之變形理論的想法...
Igusa, Eichler, Shimura, Taniyama... Frey's reduction...
依古瑟，埃其勒，志村五郎，谷山豐...弗萊的整理...
The list goes on and on... Bloch, Kato, Selmer, Frey, Fermat.
這個名單還長得很...布洛克，卡特，塞爾默，弗萊，費馬。
