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SUMMARY:Colored Jones polynomials and the volume conjecture - Prof Vishnu 
 Jejjala\, School of Physics\, University of the Witwatersrand
DTSTART:20250624T130000Z
DTEND:20250624T143000Z
UID:TALK233611@talks.cam.ac.uk
CONTACT:Challenger Mishra
DESCRIPTION:I explain that correlations among the topological invariants o
 f knots can be machine learned. The volume conjecture\, which relates quan
 tum and classical knot invariants\, supplies a case study for opening up t
 he black box\, identifying salient features in a dataset\, and using this 
 to deduce how the machine learns. I detail the construction of colored Jon
 es polynomials in the adjoint representation of SU(2) and apply neural net
 works on this dataset to predict the volume of the knot complement of hype
 rbolic knots. Based on these experiments\, I propose an improved statement
  of the volume conjecture.\n\nVenue: The Computer Laboratory\, FW26 \n\nZo
 om:\n\nhttps://cl-cam-ac-uk.zoom.us/j/6590822098?pwd=VTBuUXRXN29qMDF4TGpaa
 EhFaytQQT09\nMeeting ID: 659 082 2098 Passcode: 1dYRka
LOCATION:Computer Lab\, FW26 and Online (link in abstract)
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