Strong asymptotics for Bergman and Szegő polynomials for non-smooth domains and curves

Strong asymptotics for Bergman polynomials (i.e., polynomials orthonormal with respect to the area measure on a bounded domain $G$ in $\mathbb{C}$) and Szegő polynomials (i.e., polynomials orthonormal with respect to the arclength measure on a rectifiable Jordan curve $\Gamma$ in $\mathbb{C}$) have been first derived in the early 1920's by T. Carleman, for Bergman polynomials, and by G. Szegő, for the namesake polynomials, in cases when $\partial G$ and $\Gamma$ are analytic Jordan curves.
The transition from analytic to smooth was not obvious and it took almost half a century, in the 1960's, till P. K. Suetin has been able to derive similar asymptotics for both kind of polynomials, in cases when $\partial G$ and $\Gamma$ are smooth Jordan curves.
The purpose on the talk is to report on some recent results on the strong asymptotics of Bergman and Szegő polynomials, in cases when $\partial G$ and $\Gamma$ are non-smooth Jordan curves, in particular, piecewise analytic without cusps.