Friday, November 22, 2019 | 3:15pm | Yost 306

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

Title: Algebraic K-Theory for 2-Categories

Abstract

Quillen recognized the higher algebraic K-groups of a commutative ring R as homotopy groups of a certain topological space. This has both conceptual and computational advantages, which we review.  We then describe how a 2-categorical extension of this theory leads to a new model for K_3(R), together with more general applications.  We will give a mild sampling of key technical details and close with some of the problems we’re currently working on.  The work we present is joint with Gurski-Osorno, Fontes, and Fontes-Gurski.