Konferenz: Symposium about Pure Mathematics


Diagrammatic approach to categories and categorifications of quantum invariants

{{_Ltalk:R}} Dr. Krzysztof Putyra
Datum: 22.11.16   Zeit: 15.00 - 17.00   Raum: Y27H28

The program of categorification, initiated by Crane and Fraenkel, states that quantum invariants are shadows of higher structures. In particular, the Witten-Reshetikhin-Turaev quantum invariants of links and manifolds are expected to be dimensions of certain graded vector spaces (so far defined only at generic value of the quantum parameter). In my talk I will describe how a diagrammatic approach simplifies the already known constructions and how one may deform them to get invariant at roots of unity.