As its name suggests, the Fundamental Lemma is a technical point, but one that had stymied mathematicians for decades. Ngo's breakthrough makes other advances in the Langlands Program look possible.

顾名思义，基本引理是整个朗兰兹纲领的立足点，但几十年来数学家都无力证明它，ngo的突破将促进朗兰兹纲领其他方面的新进展。

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Sir Alan Langlands, Dundee University's principal, said they were grateful to Cancer Research UK for its support.

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NHS, Sir Alan Langlands, has said that for this reason he would resign if such charges were introduced.

ECONOMIST: Health

Mr Crisp, who starts his post on 1 November, takes over from Alan Langlands who resigned earlier this year to become vice-chancellor of Dundee University.

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