У оквиру семинара Групе за гравитацију, честице и поља Института за физику у Београду, у петак, 24. фебруара 2023. године у 11 часова на Физичком факултет у Београду у сали 665, др Марко Војиновић (Институт за физику у Београду) одржаће шести део предавања:
Introduction to category theory and n-groups
САЖЕТАК:
In the final lecture of the series, we will present a theorem relating a 2-group, a path 2-groupoid, a 2 connection and a principal 2-bundle. This theorem generalizes some concepts of differential geometry, specifically the notion of parallel transport and holonomy, by introducing the so-called surface parallel transport and surface holonomy. Such a generalization represents a new tool to build gauge theories in physics, and has direct applications for the constructions of models of quantum gravity.
The lectures are based on material from papers arXiv:q-alg/9705009 and arXiv:1003.4485.