Toric geometry

Hey there kiddo! Do you know what geometry is? It's like playing with shapes and figuring out how they fit together.

Well, toric geometry is a special kind of geometry that focuses on shapes called toric varieties. These shapes can be thought of as lots of triangles and squares glued together in a special way.

Now, these toric varieties have some really interesting properties. One property is that they can be described using something called a fan. A fan is just a bunch of lines that tell us how the triangles and squares are glued together to make the toric variety.

Another cool thing about toric varieties is that they can help us solve problems in other areas of math like algebra and combinatorics.

So, to sum it up, toric geometry is all about studying the special properties of shapes called toric varieties, using fans to describe them, and applying them to solve problems in other areas of math. Pretty neat, huh?