Algebra and Logic Seminar - 13/5/2015

Wednesday, 13 May 2015, 2:00 p.m.

Lecturer: Prof. Dr. Roger Picken (Departamento de Matemática, CAMGSD, IST-UL)

Title: "Actions of 2-groups, moduli spaces in higher gauge theory, and TQFT's"

Local: Room 1.13, Edifício VII

Faculdade de Ciências e Tecnologia, Quinta da Torre, Caparica

Abstract: In the context of higher gauge theory (HGT) based on a 2-group, I will discuss how the language of double categories provides a natural description of 2-group actions on a category. One of the motivations is to understand moduli spaces of flat connections modulo gauge transformations in HGT, and this goal is achieved for some simple manifolds. If time allows, I will relate these ideas to a class of Topological Quantum Field Theories (TQFT's) for surfaces, obtained from finite groups and 2-groups. Based on collaborations with João Faria Martins, Jeffrey Morton and Diogo Bragança.