ELI5: Explain Like I'm 5

Kontsevich moduli space

Kontsevich Moduli Space is a very complicated idea that mathematicians use to try to understand how things can be arranged in different ways. It's like playing with different types of blocks- you can stack them up in all sorts of ways, and the Kontsevich Moduli Space is like a big collection of all the different possible ways you could stack up those blocks.

Now, imagine you have a lot of different blocks, all of different shapes and sizes. You can't just throw them all in a pile and call it a day- you need to organize them somehow! The Kontsevich Moduli Space helps mathematicians do just that- it organizes all of the different ways that you can stack up the blocks, and tells you how they're related to each other.

But why is this important? Well, by understanding the different ways that things can be arranged, mathematicians can learn more about the fundamental structure of the universe around us. It's like they're figuring out the rules that govern how things can be put together- and the Kontsevich Moduli Space is one tool in their toolkit for doing just that.