Chromatic homotopy theory

Chromatic homotopy theory is like playing with different colored blocks to build towers that get bigger and bigger.

In math, we have this thing called "homotopy theory" that helps us understand shapes and spaces. It's like playing with play-doh, where we can squish and mold it to create different shapes.

But sometimes, we want to focus on just a part of the play-doh, like one color. That's where the concept of "chromatic" comes in. It's like if we only use red play-doh to build our tower.

Each color represents a different level of complexity, and as we go up in levels, our towers get bigger and bigger. We can use the different colors to build bigger and bigger towers, but we can also look at each color individually to better understand that level of complexity.

So in chromatic homotopy theory, we use different colors to represent different levels of complexity in our shapes and spaces. By studying each color separately, we can better understand the overall shape or space that we're working with.