ITS Postdoctoral Seminar (2026.04.30)

2026-04-23 10:31:09

Time: 10:00-11:00, Thursday, April 30 2026

Venue: E14-212


Speaker: Paolo De Donato

Title: Regularity of stationary multiple-valued functions

Abstract: Almgren in his acclaimed work proved an estimate on the Hausdorff dimension of the singular set for area-minimizing currents with arbitrary codimension. One of the many tools he introduced in his work is the so-called frequency function, which has proven itself to be a powerful and versatile tool in order to approach several regularity problems in geometric measure theory. In this talk I will present my work during my PhD where I used a modified frequency function to study regularity of multiple-valued functions with stationary graph.