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### The finiteness conjecture for Skein modules

**Algebra & Discrete Mathematics**

Speaker: | Sam Gunningham, Kings College London |

Related Webpage: | https://www.maths.ed.ac.uk/~sgunning/ |

Location: | 1147 MSB |

Start time: | Mon, Mar 2 2020, 12:10PM |

The Kauffman bracket skein module of an oriented 3-manifold M is a vector space (depending on a parameter q) which is generated by framed links in M modulo certain skein relations. The goal for the talk is the explain our recent proof (joint with David Jordan and Pavel Safronov) that the skein module of a closed 3 manifold is finite dimensional for generic q, confirming a conjecture of Witten. The proof involves understanding skein modules in terms of deformation quantizations of SL(2,C)-character varieties.