The cobordism hypothesis, first formulated by Dolan an Baez in 95', asserts that if we organize the collection of all framed manifolds and framed cobordisms in dimensions 0 through n into a suitable categorical structure, they will form the free symmetric monoidal (infinity,n)-category with duals generated by a single object, namely, the point. This means, in particular, that fully extended topological field theories with value in any other (infinity,n)-category of the same nature are freely determined by the value they associate to the point. In 2009 an expository paper of Jacob Lurie paved the way to a proof of this hypothesis, but many details are still left unwritten. In this talk we will describe the hypothesis and attempt to outline the proof in the 1-dimensional case.
The cobordism hypothesis in dimension 1
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Nom de l'orateur
Yonatan Harpaz (Paris)
Etablissement de l'orateur
ENS
Date et heure de l'exposé
Lieu de l'exposé
Salle Eole