У оквиру семинара Групе за гравитацију, честице и поља Института за физику у Београду, у петак, 16. децембра 2022. године у 11 часова путем BigBlueButton платформе, др Марко Војиновић (Институт за физику у Београду), одржаће предавање:
Introduction to category theory and n-groups
САЖЕТАК:
This is the first of a sequence of lectures about higher category theory and n-groups. We will discuss the motivation for introducing n-groups, and demonstrate some of their basic properties. After introducing the idea of higher groups and discussing why they should be relevant for physics, we will demonstrate the equivalence between a strict 2-group and a crossed module, which is a technically more convenient tool. We will also discuss everything on the example of the Poincaré 2-group, which should help us to build some intuition.
The lecture is motivated mainly by papers arXiv:q-alg/9705009, arXiv:1003.4485.