#### Erie Categories and Topology Seminar

A joint seminar with Kent State University

Thursday, November 21, 2019 | 2:30pm | Yost 306

Speaker: Niles Johnson, Associate Professor (Ohio State University, Newark)

Title: *Homotopy Theory of Picard Categories*

Abstract

In this talk we discuss some parallels between low-dimensional stable homotopy theory and low-dimensional symmetric monoidal algebra. On the homotopical side we will review a computation of stable homotopy groups via cohomology operations in Postnikov towers. On the categorical side, we will describe the corresponding structure in dimensions 0, 1, and 2. We will then outline a categorical analogue of the Toda bracket <2,eta,2>. This work is joint with N. Gurski and A. Osorno.