## – Europe/Lisbon

Online

Alex Bullivant, Univ. Leeds, UK

A categorification of the tube algebra

Starting from the data of an $(n+1)$-dimensional state-sum TQFT, to each $(n-1)$-manifold we can associate a so-called tube algebra whose modules admit a physical interpretation as topological excitations in the theory. In this talk I will first introduce the tube algebra before describing an appropriate categorification. Such categorified tube algebras associate to each $(n-2)$-manifold a $2$-algebra and we propose an interpretation of the module theory in terms of excitations in the theory pinned to gapped boundaries.

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There will be a 20 minute discussion period / coffee break at the end of this talk.