Graduate Colloquium: "The polynomial partitioning technique: from incidence geometry to harmonic analysis"

Abstract: I will briefly introduce the polynomial partitioning technique and provide a short proof of Szemeredi’s upper bound on point-line incidences in the plane by means of polynomial partitioning. I will then describe how directional averages relate to incidence theory and briefly outline the ideas of proof of a sharp directional averaging estimate by means of polynomial partitioning.

Host: Matt Kerr