Abstract

The boundary regularity theory for area-minimizing integral currents in higher codimension has been completed in 2018 by a work of De Lellis, De Philippis, Hirsch and Massaccesi proving the density of regular boundary points. In this talk, I will present our recent paper where we took a first step into analyzing area-minimizing currents with higher multiplicity boundary. This question has first been raised by Allard and later again by White. We focus on two-dimensional currents with a convex barrier and define the regular boundary points to be those around which the current consists of finitely many regular submanifolds meeting transversally at the boundary. Adapting the techniques of Almgren, we proved that every boundary point is regular in the above sense. This is a joint work with C. De Lellis and S. Nardulli.

Agenda

8:00 p.m. Get-together

8:30 p.m. Presentation: Simone Steinbrüchel (Leipzig University)

9:30 p.m. Questions and Discussions

Registration through the seminar website https://sites.google.com/ncts.ntu.edu.tw/international-gmt-seminar required.