The David-Semmes Problem, Rectifiability, and Harmonic Measure - ICBS 2024

Explore the solution to the David-Semmes problem in codimension one and its implications for harmonic measure in this 47-minute lecture. Delve into the intricacies of the n-dimensional Riesz transform and its connection to n-rectifiability. Learn about the groundbreaking work by Nazarov, Tolsa, and Volberg from 2014, and discover how their findings played a crucial role in solving one-phase and two-phase problems for harmonic measure proposed by Bishop in the early 1990s. Gain insights into the mathematical concepts of rectifiability, harmonic measure, and their interplay in solving complex geometric problems.

Xavier Tolsa: The David-Semmes problem, rectifiability, and harmonic measure #ICBS2024