Title: Asymptotics of polynomials via free probability

Abstract: Since the seminal work of Voiculescu in the early 90’s, the connection between the asymptotic behavior of random matrices and free probability has been extensively studied. More recently, in relation to the solution of the Kadison-Singer problem, Marcus, Spielman, and Srivastava discovered a deep connection between certain classical polynomial convolutions and free probability. Soon after, this connection was further understood by Marcus, who introduced the notion of finite free probability. 
In this talk I will present recent results on finite free probability with applications to the asymptotic analysis of real-rooted polynomials.