Homotopy theory is a subject with very intricate computations. Some of the most basic invariants, for example homotopy groups of spheres, carry rich structure and are impossibly hard to compute completely.
However, there are a lot of things we can say. Most computational results in modern homotopy theory heavily rely on the machinery of spectral sequences. In this lecture, we will learn about these tools and discuss very important applications, including results on homotopy groups, cohomology operations, and K-theory.
We will use zoom to have live lectures at the following times:
Lectures start April 21st. Details on how to connect will be provided on the LearnWeb page in the week before.
I will also try to record the lectures and provide them on the LearnWeb page for later download. Nonetheless, I strongly encourage everyone to participate live, as this hopefully enables us to have a similar degree of interactivity as with a normal lecture.