# Events for 12/13/2018 from all calendars

## Colloquium - Irina Bobkova

**Time:** 4:00PM - 5:00PM

**Location:** BLOC 220

**Speaker:** Irina Bobkova, Institute for Advanced Study

**Description:** **Title:** Decomposition and duality in stable homotopy theory

**Abstract:** Computation of the stable homotopy groups of spheres is a long-standing open problem in algebraic topology. This important problem has deep connections to number theory and derived algebraic geometry. I will explain how chromatic homotopy theory splits this problem into simpler pieces, which can be understood using the theory of formal group laws. I will talk about recent results at the second chromatic level. In particular, I will introduce a self-dual resolution of the sphere at the second chromatic level, which gives rise to a powerful spectral sequence.