Graphical Calculus for twisted Pivotal Categories

par Benjamin Haïoun (University of Edinburgh)

mercredi 13 mai 2026, 11:45 → 12:45 Europe/Paris

Amphithéâtre Léon Motchane (IHES)

Seed Seminar of Mathematics and Physics

Spring '26: TQFT and Knot Theory 

Graphical calculus provides a convenient way to represent objects and morphisms in a monoidal category using strands in the plane. This viewpoint extends naturally to more general surfaces and leads to constructions of TQFTs, such as the Turaev–Viro theories. In order to obtain oriented TQFTs, one usually uses a pivotal structure. In this talk, I will describe a more general approach based on a twisted pivotal structure, as predicted by the cobordism hypothesis. I will introduce a graphical calculus for these structures, which involves foliated surfaces and many drawings.

More information: https://seedseminar.apps.math.cnrs.fr/program/#april-29-2026

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