# Max Engelstein: Harmonic Analysis tools for Free Boundary problems

**Time: **
Tue 2022-09-13 14.00 - 15.00

**Location: **
Institut Mittag-Leffler, Seminar Hall Kuskvillan and Zoom

**Video link: **
Meeting ID: 921 756 1880

**Participating: **
Max Engelstein (University of Minnesota)

**Abstract:**

In this talk we will review some recent and not so recent work in which we apply tools and ideas from harmonic analysis and geometric measure theory to study (almost-)minimizers to free boundary problems of Alt-Caffarelli-Friedman type. In particular we will show how the regularized distances of David-Feneuil-Mayboroda can be used to produce (counter-)examples regarding the behavior of cusp points in two-phase free boundary problems.

This is joint work with Guy David, Mariana Smit Vega Garcia and Tatiana Toro.