Commuting difference operators, spinors on hyperelliptic curves and
asymptotics of generalized orthogonal polynomials: Part II"

Speaker: M. Bertola

Abstract
We show how to use the inverse spectral problem and the theory of
commuting difference operators to obtain heuristics for the  asymptotics of
orthogonal polynomials for large degrees (and varying  complex weight). The
formulas are proven correct by Part I using a rigorous Its-Deift- Zhou
steepest descent argument based on the notion of  admissible  Boutroux
curve.

We show how to construct such curves and harmonic functions in  complete
generality using the notion of "welding" of surfaces  developed in the
theory of quadratic differentials by Strebel and   used in a different
context to parametrize the moduli spaces of  smooth curves with marked
points.