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# Calvin McPhail-Snyder : Towards quantum complex Chern-Simons theory

I will discuss recent joint work (with N. Reshetikhin) defining invariants š?„ of knot (and link and tangle) exteriors with flat š?°š?©ā?? connections. The construction is via a geometric version of the Reshetikhin-Turaev construction: it is algebraic and relies on the representation theory of quantum groups. In this talk I will instead focus on the properties of these invariants and explain why I think they are a good candidate for quantum Chern-Simons theory with noncompact gauge group SLā??(ā??). I will also discuss a connection with (and a generalization of) the Volume Conjecture.

**Category**: Geometry and Topology**Duration**: 01:11:05**Date**: September 23, 2024 at 3:10 PM**Views**: 0-
**Tags:**seminar, Geometry and Topology Seminar

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