  Recent interest in the Kashaev-Murakami-Murakami hyperbolic volume conjecture
has made it seem important to be able to understand the asymptotic behaviour of
certain special functions arising from representation theory -- for example, of
the quantum 6j-symbols for SU(2). In 1998 I worked out the asymptotic behaviour
of the classical 6j-symbols, proving a formula involving the geometry of a
Euclidean tetrahedron which was conjectured by Ponzano and Regge in 1968. In
this note I will try to explain the methods and philosophy behind this
calculation, and speculate on how similar techniques might be useful in
studying the quantum case.
