Jeffrey Morton - Geometry and Topology (Math)
Room: 108
Jeffrey Morton (University of Buffalo State SUNY)
Title: Higher-Categorical Symmetries and Transport Functors in Higher Gauge Theory
Abstract: Higher Gauge Theory (HGT) studies categorical analogs of constructions in the geometry of connections on bundles. In this talk, I will describe an HGT analog of a phenomenon that occurs in gauge theory: a groupoid of such connections arises both as a category of functors and also from a group action. I will describe a 2-categorical analog of this phenomenon, showing a relation between global and local symmetry in categorical geometry.