Speaker: Tamas Forgacs (Fresno State)

Title: Parallel approaches and some open problems in the theory of multiplier sequences

Abstract: In 1914, Polya and Schur introduced, and completely characterized multiplier sequences of the first and second kind. Following their work, there were numerous efforts to better understand these objects. Broadly speaking, these efforts fall into two categories: (i) those investigating intrinsic properties of such sequences, and (ii) those looking at these objects as linear operators on R[x]. In this talk we will outline some connections between these approaches, discuss some recent results, and state a few titillating conjectures.