Nonlocal Partial Regularity.Oberseminar Analysis

by Dr Simon Nowak

Wednesday Jun 24, 2026, 2:15 PM → 4:15 PM Europe/Berlin

Endenicher Allee 60/2. OG.-040 - Room 2.040 (Mathezentrum)

The failure of De Giorgi-Nash-Moser theory in the vectorial setting leads to the study of partial regularity, which is concerned with the smoothness of solutions outside a negligible, singular set. This is a classical phenomenon for elliptic systems and harmonic maps. I will discuss recent advances on various types of nonlinear integro-differential systems, with particular emphasis on the structure and size of the singular set. From recent, joint works with Cristiana De Filippis (Parma), Kyeongbae Kim (Bonn), Giuseppe Mingione (Parma) and Yannick Sire (Johns Hopkins University).