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Iwasawa theory was supposed to help create something called a class number formula,
伊娃沙娃理論應可幫助創建出稱為類數公式的東西，
but several months passed and the class number formula remained out of reach.
但數月過去了，而類數公式仍遙遙無期。
So at the end of the summer of '91 I was at a conference.
91年的夏末，我參加了一個研討會。
John Coates told me about a wonderful new paper of Matthias Flach, a student of his,
約翰·科茨告訴了我關于他的一位學生馬蒂亞斯·弗拉赫寫就的一篇精彩論文，
in which he had tackled a class number formula, in fact exactly the class number formula I needed,
其中他生成了一個類數公式，事實上正是我所需要的類數公式。
so Flach, using ideas of Kolyvagin, had made a very significant first step in actually producing the class number formula.
弗拉赫借鑒了科里瓦金的思想，他在產生類數公式的實際過程中邁出了非常具有意義的第一步。
So at that point I thought this is just what I need, this is tailor-made for the problem.
所以在那個時候我想這正是我需要的，正與那問題相契合。
I put aside completely the old approach I'd been trying and I devoted myself day and night to extending his result.
我完全將以前嘗試的舊方法棄之一旁，不分晝夜地投入到拓展他研究成果的工作當中。
Andrew was almost there, but this breakthrough was risky and complicated.
安德魯幾已成功，但這個突破既冒險又復雜。
After six years of secrecy, he needed to confide in someone.
經過六年的隱密研究，他需要向某人傾訴。
January of 1993 Andrew came up to me one day at tea,
1993年1月的一天，安德魯在喝茶時間來找我，
asked me if I could come up to his office, there was something he wanted to talk to me about.
問我能否去一趟他的辦公室，在那兒他有事情要和我談談。
I had no idea what, what this could be.
我毫無頭緒會是什么事。
Went up to his office, he closed the door.
到了他的辦公室，他關上門。
He said he thought he would be able to prove Taniyama-Shimura.
他說他認為他能夠證實谷山-志村猜想。
I was just amazed, this was fantastic.
我太吃驚了，這太不可思議了。
