And it's what's called a topological invariant.

也是一种拓扑不变量。

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代拓扑会议才是书呆子舞会，代拓扑是使用抽象代工具来研究拓扑空间分支。拓扑空间是一种结构，可以在上头形式化地定义出如收敛，连通，连续等概念。

The new algorithm generalizes really well for tasks with different lengths, topologies, and changing objectives.

新算法对具有不同长度、拓扑结构和变化目标任务具有很好推性。

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

除了我排队不是摇滚乐，我演唱会是黑洞拓扑讲座。

A topological insulator acts like both at the same time, which we used to think was impossible!

一个拓扑绝缘体就像两个同时起作用，而这在过去被我们认为是不可能。

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 在座哪位对拓扑绝缘体概念比较熟悉？

Now you don't have to worry about what a topological qubit is.

现在您不必担心什么是拓扑量子位。

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

亚原子粒子拓扑特性也可以改变量子计算。

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

但在一些奇异拓扑相中，亚原子粒子可以受到保护。

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

事实证明，这两位物理家发现一个全新拓扑相变中也涉及到了量子涡旋！

What's really weird--One really weird finding about these lobes is that they include topological maps.

真正奇怪是——关于这些波瓣一个非常奇怪发现是它们包含拓扑图。

Nowadays, scientists are working to develop topological insulators, and some think they could be as important for future technologies as semiconductors are today.

当前，科家们正在致力于研发拓扑绝缘体。其中有些人认为拓扑绝缘体对于未来技术就像今天半导体一样重要。

We're taking a very different approach to our qubit, which is based on this topological qubit.

我们对我们量子比特采取了一种非常不同方法， 它基于这个拓扑量子比特。

Topology was originally studied as a branch of purely abstract mathematics.

拓扑最初是作为纯抽象一个分支来研究。

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

现在，科家们正试图通过一种称为“拓扑”城市设计方法来改造贫民窟。

These topological qubits would be more stable, leading to more accurate computation and a better quantum computer.

这些拓扑量子位会更稳定，从而导致更准确计算和更好量子计算机。

Topological properties don't change when an object is gradually stretched or bent.

当对象逐渐拉伸或弯曲时，拓扑属性不会改变。

Thouless and the final winner, Duncan Haldane, are both also using topology to pave the way for a new kind of material: topological insulators.

索利斯及最后一位获奖者邓肯·霍尔丹都用拓扑为一种新物质——拓扑绝缘体开辟了道路。

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

首先， 拓扑是一个分支，侧重于对象基本属性。

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

这包括许多奇特量子现象与中一个称为拓扑分支，拓扑关注是物体可如何被排列与操纵。