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代数拓扑会议才是书呆子舞会，代数拓扑是使用抽象代数工具来研究拓扑空间数分支。拓扑空间是种数结构，可以在上头形式化地定义出如收敛，连通，连续等概念。

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

事实证明，这两位物理家发现个全新拓扑相变也涉及到了量子涡旋！

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 在位对拓扑绝缘体概念比较熟悉？

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，我演唱会是黑洞拓扑讲。

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数个称为拓扑分支，拓扑关注是物体可如何被排列与操纵。

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

亚原子粒子拓扑特性也有望革新量子计算领域。

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

极其复杂拓扑结构，试图让所有这些东西加载反弹。

This method can be super pretty, since there is a lot of color involved, and the core underlying idea applies to all sorts of math beyond this algorithm for solving equations, including a bit of topology, which I'll talk about afterwards.

这种方法可以非常漂亮， 因为涉及了大量色彩，而且其核心理念不仅适用于这个解方程算法， 还涵盖了各种数领域，包括些拓扑内容， 我稍后会进行讲解。

HPE prefers something known as a dragonfly topology, a two-layer system in which groups of chips are connected to each other in clusters and those clusters are wired up to each other in turn.

惠普企业更倾向于使用种称为“蜻蜓拓扑”结构，这是种两层系统， 在该系统， 芯片组相互连接形成集群， 而这些集群又彼此相连。

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微秒表面拓扑纹理图像，微芯片究竟是如何确定它们之间x轴变化和y轴变化？

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!

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

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，从我们架构设计上拓扑角度来看， 确实非常出色。

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部署基于SAP NetWeaverABAP应用，因此您可以更快地启动和运行。

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拓扑结构，你就研究它函数， 进行杜伦上同调计算，从而得到其拓扑结构。

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

现在，科家们正试图通过种称为“拓扑”数方法来改造贫民窟。

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

因此，本研究提出设计方法能够解决拓扑结构多变树状灌溉管网优化问题。

For me, so what I'm saying is, I get a little bit of the joy of kind of learning something purely as a scientist, something completely outside of what I do, mathematics.

对我来说，我意思是，我能感受到种纯粹作为科家去习某些完全超出我专业领域——数之外东西趣。比如他感兴趣规范理论，那种非常高级几何拓扑。

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下， 进入拓扑证明世界；我想你会觉得这条推理路线非常令人满意。

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

首先，拓扑是数个分支，专注于研究物体基础性质。

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

但在某些奇异拓扑相态，亚原子粒子能够得到保护。