Factorization Homology: an Introduction (Nikolai PERRY, UNIGE)

25.03.2025 15:00 – 15:50

Factorization homology is a gadget which pairs geometric data in the form of an n-manifold (possibly with tangential structure) with appropriate algebraic data, giving an object in a symmetric monoidal (higher) category. Importantly, this gadget satisfies a local-to-global gluing principle: an appropriate notion of excision generalising the Eilenberg-Steenrod axioms. Naturally a higher-categorical theory, this framework has been used in approaches to various quantisation problems and in the construction of fully extended TFTs. The aim of this talk is to give a brief introduction to the theory of factorization homology, introducing important background concepts and examples in advance of Jan Pulmann's talk.

Lieu

Bâtiment: Conseil Général 7-9

Room 1-07, Séminaire "Groupes de Lie et espaces de modules"

entrée libre