Hodge structures

Shimura Varieties: motivation

EDIT: While these notes might be still useful to read, if one wants a more in-depth explanation of the ideas below see the notes from this post.


This will be the first in a series of posts discussing Shimura varieties. In particular, we will focus here on a sort of broad motivation for the subject—why Shimura varieties are a natural thing to study and, in particular, what they give us.