Oberseminar Darstellungstheorie
Spectral measures in tensor categoriesOberseminar Darstellungstheorie
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Europe/Berlin
MPIM, Vivatsgasse, 7 - Lecture Hall (Max Planck Institute for Mathematics)
MPIM, Vivatsgasse, 7 - Lecture Hall
Max Planck Institute for Mathematics
120
Description
(joint work with A. Forey and J. Fresán)
Certain numerical invariants of objects of tensor categories have the property that their values along tensor powers correspond to moments of a positive measure. We will present examples of this phenomenon, in particular in cases related to Deligne--Knop categories, and explain some applications and relations with certain equidistribution problems in combinatorics and number theory.