Seminars & Colloquia Calendar
A category interpolating crossed modules over symmetric groups
Robert Laugwitz, Rutgers University
Location: Hill 705
Date & time: Friday, 08 February 2019 at 12:00PM - 1:00PM
Abstract: P. Deligne introduced a remarkable tensor category interpolating the representation theory of symmetric groups, allowing for the natural number of permuted letters to be replaced by any complex number. We compute the monoidal center of this category and obtain a ribbon category that interpolates the category of crossed modules over symmetric groups in a similar way. As an application, interpolations of untwisted Dijkgraaf-Witten invariants of framed ribbon links are obtained.