ELI5: Explain Like I'm 5

Moduli of abelian varieties

Okay kiddo, let's talk about moduli of abelian varieties.

An abelian variety is basically a special kind of geometrical object that is built by taking points on a geometric space and putting them together in a certain way. Think of it like building a castle out of different blocks.

Now, when we talk about the "moduli" of these abelian varieties, we're talking about a way to classify them based on certain properties. It's like putting all the red blocks in one pile, and all the blue blocks in another pile.

The moduli of abelian varieties can be really useful in studying them and understanding their properties. You might think of it like putting similar things together in a group to study them more easily.

Overall, moduli of abelian varieties is a way to organize these geometrical objects and better understand their properties. It's like sorting your toys into different bins so you can find them more easily later.