Large N asymptotics of orthogonal polynomials, from integrability to algebraic geometry

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/58017In this short lecture, we compute asymptotics of orthogonal polynomials, from a saddle point approximation. This is an example of a calculation which shows the link between integrability, algebraic geometry and random matrices.Proceedings Les Houches sumer school, Applications of Random Matrices in Physics, June 6-25 2004Mathematical PhysicsHigh Energy Physics - TheoryLarge N asymptotics of orthogonal polynomials, from integrability to algebraic geometrytext