Colloquium: Olli Tapiola
Title: Characterizing geometry by using properties of harmonic functions.
Abstract: Uniform rectifiability is a geometric property that is strongly connected to harmonic analysis and elliptic PDE. It was introduced by David and Semmes in the early 1990's as the property that characterizes the L^2-boundedness of certain singular integral operators on Ahlfors-David regular sets. In the last 30 years, numerous different types of other characterizations for this property have been found. In this talk, we discuss many recent results related to the field and how we can use properties of harmonic functions to characterize uniform rectifiability.
Contact Name: Cristina Pereyra