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Three-manifold invariants and topological field theory
5 mars 2020 @ 15:30 -16:30
Speakers: Ingo Runkel (Universität Hamburg)
I would like to discuss three-manifold invariants built from link-invariants using surgery representations of three-manifolds. This is the basis of the Reshetikhin-Turaev construction, which produces invariants that behave nicely under cutting and glueing, specifically, they define three-dimensional topological field theories. The algebraic data needed to describe these theories are so-called modular tensor categories, as provided for example by representations of certain Hopf algebras. While the original construction is limited to the semisimple case, in recent developments also non-semisimple modular categories can be used to define topological field theories, leading to some effects not present in the semisimple situation.
https://indico.math.cnrs.fr/event/5703/
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- indico-event-5703@indico.math.cnrs.fr
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- https://indico.math.cnrs.fr/event/5703/