In this talk, I will describe a couple of instances in which ideas coming from geometric measure theory have played a central role in proving results in potential theory. Understanding limits of measures associated to second order divergence form operators has allowed us to establish equivalences between boundary regularity properties of solutions to these operators and the domains where they are defined.

Registration through the seminar website https://sites.google.com/ncts.ntu.edu.tw/international-gmt-seminar/ required.