Konferenzvortragsdetails

Konferenz: Minisymposium Link Homology and TQFTs


Module traces in Pivotal categories

Vortrag von Dr. Andres Fontalvo Orozco
Datum: 19.03.19   Zeit: 15.15 - 16.15   Raum: Y27H26

Abstract: The modified trace was introduced by Geer and Patureau-Mirand as a generalization of the categorical trace in 2013. Unlike the categorical trace it is not trivial in the non-semisimple setting, enabling us to define interesting link invariants in the style of Reshetikhin-Turaev. In 2018 Beliakova, Blanchet and Gainutdinov gave an explicit characterization of this modified traces in terms of the algebraic data of a unimodular Hopf algebra. In this talk we take a look at this data an use it to motivate a further generalization of the categorical trace, namely the module trace. We discuss some of its properties and what they can tell us about the modified trace in the non-unimodular case. Time permiting we look at the example of Borel quantum groups at roots of one.