王虹、邓煜同拿菲尔兹奖：中国籍数学家的历史性突破

菲尔兹奖是什么分量？

Just how much does the Fields Medal mean?

这么说吧：它常被叫做“数学界的诺贝尔奖”，但在很多人眼里，它比诺贝尔奖还难拿。

Put it this way: it's often called "the Nobel Prize of mathematics," but in many people's eyes, it's even harder to win than the Nobel.

诺贝尔奖每年都发，菲尔兹奖四年才发一次；而且，它只发给四十岁以下的人。

The Nobel is awarded every year; the Fields Medal only once every four years — and only to people under forty.

换句话说，你这辈子最多也就那么几次机会，一旦过了四十，再厉害也没份了。

In other words, you get at most a handful of shots in your whole life, and once you pass forty, no matter how brilliant you are, you're out.

每一届，全世界也就选出两到四个人。

Each edition, the whole world selects just two to four people.

今年选出了四位，其中有两位是中国人——王虹和邓煜。

This year four were chosen, and two of them are Chinese — Wang Hong and Deng Yu.

更巧的是，这两个人不是陌生人，他们是北大数学系2007级的同班同学。

What makes it even more remarkable: these two aren't strangers. They were classmates in Peking University's math department, class of 2007.

先说王虹。

Let's start with Wang Hong.

她解决的，是一个困扰了数学家一百多年的老问题——卡凯亚猜想。

What she solved is an old problem that had puzzled mathematicians for over a century — the Kakeya conjecture.

这个问题，你可以先从一个很直观的画面想起：

You can start picturing it with a very intuitive image:

你手里拿着一根针，让它在空间里朝每一个方向都指一遍。

Hold a needle in your hand and point it, in turn, in every direction in space.

针扫过的那片区域，最小能有多小？

The region the needle sweeps out — how small can it possibly be?

听上去像个脑筋急转弯，可它背后连着一大片现代数学，很多大问题都卡在这儿。

It sounds like a brain teaser, but behind it lies a huge swath of modern math; many big problems are stuck right here.

王虹和她的合作者，把三维空间里的这个情况，彻底证明了出来。

Wang Hong and her collaborators completely proved this case in three-dimensional space.

再说邓煜。

Now Deng Yu.

他和两位同事一起，做的是另一件“看起来几乎不可能”的事。

With two colleagues, he did another "seemingly almost impossible" thing.

一百多年前，物理学家希尔伯特就问过：

Over a century ago, the physicist Hilbert asked:

我们能不能从最底层的规则出发，一步一步、严格地推出气体是怎么运动的？

Can we start from the most basic rules and, step by step and rigorously, derive how a gas moves?

说白了就是：空气里无数个分子，各自乱撞，怎么就变成了我们感受到的风、温度和气流？

Put plainly: countless molecules in the air, each colliding at random — how does that become the wind, temperature, and airflow we feel?

从“一个个分子对撞”，到“我们看到的流体”，中间那座桥，一百多年都没人真正搭起来。

From "individual molecules colliding" to "the fluid we see," no one had truly built that bridge in over a hundred years.

邓煜他们，第一次把这座桥严格地搭通了。

Deng Yu and his team were the first to build that bridge rigorously.

说到这儿，你可能会问：华人拿菲尔兹奖，不是早就有了吗？

At this point you might ask: haven't ethnic Chinese won the Fields Medal before?

丘成桐、陶哲轩不都拿过？

Didn't Shing-Tung Yau and Terence Tao both win it?

没错，但有一个关键区别：他们拿奖的时候，都已经是美国国籍了。

True — but there's one key difference: by the time they won, they were already American citizens.

王虹和邓煜，是第一次由“中国国籍”的数学家，拿到这个奖。

Wang Hong and Deng Yu are the first mathematicians holding "Chinese nationality" to win the award.

这也是为什么，这两天中国的数学圈，几乎是沸腾的。

That's also why, these past couple of days, China's math community has been practically boiling over.

这两个人的经历，还藏着一个特别打动人的对比。

The two of them carry one more especially moving contrast.

邓煜是典型的“天才少年”：十几岁就在国际奥数比赛上拿了金牌，被保送进北大。

Deng Yu was the classic "gifted boy": as a teenager he won gold at the International Mathematical Olympiad and was recommended straight into Peking University.

王虹的路，恰恰相反。

Wang Hong's path was exactly the opposite.

她当年的高考分数，不够直接进数学系，先被分到了地球与空间科学学院。

Her college-entrance score wasn't enough to go straight into the math department, so she was placed first in the School of Earth and Space Sciences.

她不甘心，一边自学，一边准备考核，硬是靠自己，转进了数学系。

Unwilling to accept that, she taught herself while preparing for a transfer exam, and by sheer effort got herself into the math department.

一个是一路顺风的天才，一个是半路杀出、自己拼进来的人。

One a smooth-sailing prodigy, the other a fighter who cut in sideways and forced her own way in.

两条完全不同的路，最后在同一间教室里相遇，又在十几年后，一起站上了世界数学的最高领奖台。

Two completely different roads met in the same classroom, and more than a decade later, stood together on the highest podium in world mathematics.

还有一个细节，值得停一下：

One more detail worth pausing on:

王虹是菲尔兹奖历史上，第三位女性得主。

Wang Hong is the third woman in the history of the Fields Medal to win it.

在数学这个女性长期偏少的领域里，这个“第三”，本身就很有分量。

In math, a field where women have long been scarce, that "third" carries real weight on its own.

最后，留一个问题给你：

Finally, a question for you:

一道题，几代人算了一百年都没算出来。

A problem that generations spent a hundred years on without solving.

是什么样的人，愿意把自己最好的年华，押在一个可能永远算不出来的问题上？

What kind of person is willing to bet the best years of their life on a question that might never be solved?