Event Series
Event Type
Tuesday, December 13, 2022 4:00 PM
Xavier Tolsa (Universitat Autònoma de Barcelona)


Understanding the geometric and metric properties of harmonic measure is important for the solution of the Dirichlet problem for the Laplacian. In this talk I will survey the results obtained in recent years regarding the connection between harmonic measure, Hausdorff measures, and rectifiability, which plays a prominent role in the codimension 1 case. I will also review some open questions and partial results in other codimensions, where the situation is not well understood.