Mathematical Conversations

Chromatic homotopy theory is the philosophy that homotopical phenomena should be understood via the periodicities they exhibit. Equivalently, it's the viewpoint that every prime number p hides an infinite hierarchy of "chromatic primes" of increasing topological degree. I'll give a rapid tour of some attractions selected from this huge subject. Topics may include redshift, topological modular forms and the world's most powerful linearization functor.