Speaker : Professor Mourad Ismail ( University of Central Florida) Title : The $q$ World, Orthogonal Polynomials and Asymptotics Time : 2012-11-22 (Thu) 15:00 - 16:00 Place : Lecture Hall, Inst. of Mathematics Abstract: We discuss the large degree asymptotics of orthogonal polynomials in different parts of the complex plane. We contrast the universal behavior of the asymptotics of polynomials orthogonal with respect to exponential weights with $q$-orthogonal polynomials. The Ramanujan function plays a central role in this analysis. We state some questions arose in the Ramanujan lost note book and the recent progress on these problems.