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Quantum trace and length conjecture for hyperbolic knot

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Mauricio Romo
Yau Center, Tsinghua University
Tue, 06/09/2022 - 15:00 - 16:00
MPIM Lecture Hall
Parent event: 
Extra talk

Hybrid talk.
Contact for zoom details: Sibasish Banerjeer, MPIM (


I will define the quantum trace map for an ideally triangulated hyperbolic knot complement on S^3. This map assigns an operator to each element L of  the Kauffman Skein module of knot complement.  Motivated by an interpretation of this operator in the context of SL(2,C) Chern-Simons theory, one can formulate a 'length conjecture' for the hyperbolic length of L.

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