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X-FROM-URL:https://eom.sdu.dk/events/ical/18f88edf-abc7-4aab-8c3b-e43b8815
 c1d0
X-WR-CALNAME:QM Research Seminar: Topological recursion\, higher quantum A
 iry structures\, and knot invariants
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TZID:Europe/Copenhagen
X-LIC-LOCATION:Europe/Copenhagen
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DTSTAMP:20260602T163052Z
DTSTART:20261028T030000
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DESCRIPTION:[b]Speaker: Greyson Potter[/b] (SDU) [nl]\n[b]Abstract:[/b][nl
 ]\nWe develop a computational approach to analyzing the generalized volum
 e conjecture\, which relates topological recursion and Chern-Simons theor
 y for hyperbolic 3-manifolds with torus boundary. The conjecture states t
 hat there is an equality between two series in a formal parameter hbar: t
 he non-perturbative wave function from topological recursion and a state-
 integral for SL(2\,C) Chern-Simons theory. Both series are expressible as
  sums over graphs. We develop algorithms for efficiently computing the gr
 aph sum for the non-perturbative wave function via quantum Airy structure
 s and a software package\, called qairy\, which implements our algorithms
 . We further develop tools and techniques which are widely applicable to 
 the calculation and analysis of the non-perturbative wave functions assoc
 iated to genus one spectral curves. Using these tools\, we are able to ve
 rify the generalized volume conjecture in several cases up to much higher
  order in hbar than was previously accessible as well as analyze the arit
 hmetic aspects of the conjecture.\n[nl]
DTEND:20230911T140000Z
DTSTAMP:20260602T163052Z
DTSTART:20230911T130000Z
LOCATION:Syddansk Universitet\, Campusvej 55\, 5230\, Odense M
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SUMMARY:QM Research Seminar: Topological recursion\, higher quantum Airy s
 tructures\, and knot invariants
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