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Colloquium: Olli Tapiola

Event Type: 
Olli Tapiola (University of Missouri at Columbia)
Event Date: 
Thursday, April 12, 2018 -
3:30pm to 4:30pm
SMLC 356

Event Description: 

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.


Event Contact

Contact Name: Cristina Pereyra