Except, instead of rock and roll music, my concert was a lecture on black hole topology.

除了我排队的不是摇滚乐，我的演唱会是黑洞拓扑学的讲座。

And for your information, the summer conference on algebraic topology at Caltech is nerd prom.

还有，给你科普一下加州理工夏天的代数拓扑会议才是书呆子舞会，代数拓扑是使用抽象代数的工具来研究拓扑空间的数学分支。拓扑空间是一种数学结构，可以在上头形式化地定义敛，连通，连续等概。

All right, let's begin. Show of hands, who here is familiar with the concept of topological insulators?

始上课 请举手告诉我 在座的哪位对拓扑绝缘体的概比较熟悉？

The topological properties of subatomic particles could also transform quantum computing.

亚原子粒子的拓扑特性也可以改变量子计算。

Turns out, quantum vortices also involved in an entirely new topological phase transition discovered by these two physicists!

事实证明，这两位物理学家发现的一个全新的拓扑相变中也涉及到了量子涡旋！

But in some exotic topological phases, the subatomic particles can become protected.

但在一些奇异的拓扑相中，亚原子粒子可以受到保护。

Now, scientists are trying to transform slums with a mathematical approach to urban design called " topology" .

现在，科学家们正试图通过一种称为“拓扑”的城市设计数学方法来改造贫民窟。

First of all, topology is a branch of mathematics that focuses on fundamental properties of objects.

首先， 拓扑学是数学的一个分支，侧重于对象的基本属性。

This involved lots of weird quantum phenomena, plus a branch of math called topology, which looks at how objects can be arranged and manipulated.

这包括许多奇特的量子现象与数学中一个称为拓扑学的分支，拓扑学关注的是物体可何被排列与操纵。

This powerful result is a cornerstone of topology, a branch of mathematics concerned with the fundamental properties of space, significantly impacting fields ranging from data science to physics.

这一强有力的结果是拓扑学的基石，拓扑学是与空间基本属性有关的数学分支，对从数据科学到物理学等领域产生了重大影响。

So this year’s Nobel Laureates have pioneered some important research into molecular machines and topological materials, and it looks like there’s a lot more on the horizon!

因此，今年的诺贝尔奖获得者率先展了分子机器和拓扑材料的一些重要研究，而且看起来还有更多！

The edge of such a topological insulator has perfect electron transport: no electrons travel backward, no energy is lost as heat, and the number of conducting pathways can even be controlled.

这种拓扑绝缘体的边缘具有完美的电子传输：没有电子向后移动，没有能量作为热量损失，甚至可以控制导电通路的数量。