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Quantum trace and length conjecture for hyperbolic knot

November 11, 2022 @ 11:00 am - 12:00 pm

Member Seminar

Speaker: Mauricio Romo

Title: Quantum trace and length conjecture for hyperbolic knot

Abstract: 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.

Details

Date:
November 11, 2022
Time:
11:00 am - 12:00 pm
Event Category:

Venue

CMSA Room G10
CMSA, 20 Garden Street
Cambridge, MA 02138 United States
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Phone:
6174967132