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Higher Categorical Structures from 3D Topological Field Theories

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Chris Schommer-Pries
Tue, 22/03/2016 - 11:15 - 12:15
MPIM Lecture Hall

I will survey recent advances in the classi cation of extended topological eld
theories, with a particular focus on dimension three. I will describe recent work
(joint with B. Bartlett, C. Douglas, and J. Vicary) giving an explicit "generators
and relations" classi cation of partially extended 3D TFTS (assigning values
only to 3-manifolds, surfaces, and 1-manifolds) and the relationship between this
presentation and modular tensor categories. Time permitting, this will be compared
to the fully-local case (which has been considered in joint work with C. Douglas
and N. Snyder).

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