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

也是扑不变。

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

还有，给你科普下加州理工夏天的代数扑会议才是书呆舞会，代数扑是使用抽象代数的工具来研究扑空间的数学分支。扑空间是数学结构，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、扑结构和变化目标的任务具有很好的推广性。

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

除了我排的不是摇滚乐，我的演唱会是黑洞扑学的讲座。

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 在座的哪对扑绝缘体的概念比较熟悉？

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

个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的。

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

事实证明，这两物理学家发现的个全新的扑相变中也涉及到了涡旋！

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

现在您不必担心什么是扑。

So that's the concept of retinotopy or the map in visual cortex.

这就是视网膜扑学或视觉皮层中的地图的概念。

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

当对象逐渐拉伸或弯曲时，扑属性不会改变。

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

真正奇怪的是——关于这些波瓣的个非常奇怪的发现是它们包含扑图。

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

首先， 扑学是数学的个分支，侧重于对象的基本属性。

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

我们对我们的比特采取了非常不同的方法， 它基于这个扑比特。

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称为“扑”的城市设计数学方法来改造贫民窟。

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

这包括许多奇特的现象与数学中个称为扑学的分支，扑学关注的是物体可如何被排列与操纵。

One example is called a topological insulator.

个例叫做扑绝缘体。

The Topography of Terror documentation center, near Potsdamer Platz, explains how the Nazis organized their systematic campaign of persecution and murder.

于波茨坦广场附近的“恐怖扑” 文献中心，解释了纳粹如何组织其有系统的迫害和谋杀活动。

But the Nobel Laureates discovered that topological properties do exist at the quantum level.

但诺贝尔奖获得者发现，扑性质确实存在于层面。

A donut and a coffee cup look the same to a topologist because they both have one hole.

个甜甜圈和个咖啡杯在扑学家看来是样的，因为它们都有个洞。

For a long time, it wasn't clear whether topology was useful for describing the behaviors of subatomic particles.

长期以来，人们并不清楚扑学是否有助于描述亚原粒的行为。