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会议才是书呆子舞会，代是使用抽象代的工具来研究空间的学分支。空间是一种学结构，可以在上头形式化地定义出如收敛，连通，连续等概。

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

好吧 开始上课 请举手告诉我 在座的哪对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，物理学家发现的一个全新的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“”的城市设计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， 学是学的一个分支，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.

包括许多奇特的量子现象与学中一个称为学的分支，学关注的是物体可如何被排列与操纵。

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.

一强有力的结果是学的基石，学是与空间基本属性有关的学分支，对从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开展了分子机器和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.

种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量。