TitleThe regularity theory for the area functional (in geometric measure theory)
Publication TypeJournal Article
Year of Publication2022
AuthorsDe Lellis C
JournalInternational Congress of Mathematicians
Type of ArticleProceedings GMT

The aim of this article is to give a rather extensive, and yet nontechnical, account of the birth of the regularity theory for generalized minimal surfaces, of its various ramifications along the decades, of the most recent developments, and of some of the remaining challenges.


Preprint. To appear in the Proceedings of the 2022 ICM.