Vortragsveranstaltung
Zeta functions and topological field theories
Prof. Dr. Christian Kassel, Prof. Dr. Christoph Schweigert
13.5.2015, 14:00 Uhr – 16:30 Uhr
Vortrag
How quantum field theory can help to understand representation theory
Prof. Dr. Christoph Schweigert
13.5.2015, 15:30 Uhr
Topological field theories – despite their name and their applications in physics – constitute a rigorous piece of mathematics, with deep links to low-dimensional topology (in particular to invariants of knots and three-manifolds) and to representation theory. We give an introduction to topological field theories of Turaev-Viro type, aiming at a general mathematical audience. Our treatment will include the case of three-manifolds with boundaries and with defects as well, which allows us to “explain” structures of independent interest in representation theory.