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SUMMARY:Bruce Bartlett (Stellenbosch University)
DTSTART:20210521T160000Z
DTEND:20210521T170000Z
DTSTAMP:20260423T035912Z
UID:TQFT/39
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/TQFT/39/">As
 ymptotics of the classical and quantum $6j$  symbols</a>\nby Bruce Bartlet
 t (Stellenbosch University) as part of Topological Quantum Field Theory Cl
 ub (IST\, Lisbon)\n\n\nAbstract\nThe classical (resp. quantum) 6j symbols 
 are real numbers which encode the associator information for the tensor ca
 tegory of representations of SU(2) (resp. the quantum group of SU(2) at le
 vel k). They form the building blocks for the Turaev-Viro 3-dimensional TQ
 FT.  I will review the intriguing asymptotic formula for these symbols in 
 terms of the geometry of a Euclidean tetrahedron (in the classical case) o
 r a spherical tetrahedron (in the quantum case)\, due to Ponzano-Regge and
  Taylor-Woodward respectively. There is a wonderful integral formula for t
 he square of the classical 6j symbols as a group integral over SU(2)\, and
  I will report on investigations into a similar conjectural integral formu
 la for the quantum 6j symbols. In the course of these investigations\, we 
 observed and proved a certain reciprocity formula for the Wigner derivativ
 e for spherical tetrahedra. Joint with Hosana Ranaivomanana.\n
LOCATION:https://researchseminars.org/talk/TQFT/39/
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