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书呆子舞会，代数拓扑使用抽象代数的工具来研究拓扑空间的数学分支。拓扑空间一种数学结构，可以在上头形式化地定义出如收敛，连通，连续等概念。

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

除了我排队的不摇滚乐，我的演唱会拓扑学的讲座。

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 在座的哪位对拓扑绝缘体的概念比较熟悉？

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

事实证，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！

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

亚原子粒子的拓扑特性也有望革新量子计。

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

但在某些奇异的拓扑相态中，亚原子粒子能够得到保护。

Incredibly complex topology to try and load bounce all this stuff.

极其复杂的拓扑结构，试图让所有这些东西加载反弹。

You said number theory, you said geometry, words like topology.

你说的数论，你说的几何，还有拓扑这样的词。

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“拓扑学”的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，拓扑学数学的一个分支，专注于研究物体的基础性质。

Gauge theory, the kind of very advanced geometry topology that he's interested in.

规范理论，即他感兴趣的那种高度复杂的几何拓扑学。

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，拓扑学关注的物体可如何被排列与操纵。

Thus, the design method proposed in this study can solve the optimal problems of tree-type irrigation pipe networks with varying topologies.

因此，本研究提出的设计方法能够解决拓扑结构多变的树状灌溉管网优化问题。

So let's take a little sidestep through topology proof land; I think you'll agree this is a really satisfying line of reasoning.

所以让我们稍微偏离一下， 进入拓扑证的世界；我想你会觉得这条推理路线非常令人满意。

If you want to understand the topology of something, you look at the functions, you do Durham cohomology, and you get the topology.

如果你想理解某个事物的拓扑结构，你就研究它的函数， 进行杜伦上同调计，从而得到其拓扑结构。

AWS Systems Manager for SAP now supports SAP NetWeaver-based ABAP applications deployed in distributed and HA topologies, so you can get up and running faster.

AWS系统管理器现在支持在分布式和高可用性拓扑中部署的基于SAP NetWeaver的ABAP应用，因此您可以更快地启动和运行。

It also underlies the video on the Borsuk-Ulam theorem being used to solve What was basically a counting puzzle by using topological facts about spheres?

它还支撑了一个关于使用博苏克-乌拉姆定理来解决基本上一个计数谜题的视频，这个谜题通过球体的拓扑学事实来解答的。

So all these little things that that it would enable, like from a kind of a topological perspective of what we do architecturally is pretty spectacular.

因此， 所有这些小功能都能实现，从我们架构设计上的拓扑角度来看， 确实非常出色。

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!

所以今年的诺贝尔奖得主在分子机器和拓扑材料的研究中取得了重要突破，看来未来还有更多精彩等着我们呢！

If we have two images of the topographical texture of the surface taken 59 microseconds apart, how exactly does the microchip determine the change in x and the change in y between them?

如果我们有两张相隔59微秒的表面拓扑纹理图像，微芯片究竟如何确定它们之间的x轴变化和y轴变化的？