Title: Chromatic Homotopy: What, Why, and How
Abstract: Despite its success in computational and abstract applications, the budding field of chromatic homotopy theory remains somewhat inaccessible to newcomers. In contrast to some other areas of homotopy theory (stable, simplicial, rational, etc.), it can be difficult to say what exactly chromatic homotopy is about. This is because its central concept is not one idea, but rather the relationship between three different ones. In this talk, I will describe the structural, computational, and geometric aspects of chromatic homotopy, and how they relate to one another. The goal is that the next time attendees encounter a reference to the “chromatic point of view”, they have the context to understand what that means. This talk should be accessible to anyone familiar with stable homotopy theory and algebraic geometry.
