Organisational Matters:
The talks are recorded. Please email me for the link to the videos if you would like to watch:
llo {at} uni-muenster {dot} de
The talks will be held once every two weeks, 90 minutes talk with a 10 - 15 minutes break. The talk schedule are as follows:
Talk 1, 2025.10 13: Introductory talk. Overview of the arguments, allocation of talks. (Lawrence Lo, University of Münster)
Talk 2, 2025.10.27: Background on Caccippoli Sets. (Lawrence Lo, University of Münster)
Talk 3, 2025.11.10: Currents and Geometry. (Lawrence Lo, University of Münster)
Talk 4, 2025.12.15: Hyperbolic unfolding of area-minimising hypersurfaces. (Joachim Lohkamp, University of Münster)
Supplementary video: Proof of the hyperbolic unfolding and S-uniformity. (Lawrence Lo, University of Münster, to be released)
Talk 5, 2026.01.12: Potential theory Gromov hyperbolic spaces with bounded geometry. (Matthias Kemper, University of Münster)
Talk 6, 2026.01.26: Potential theory on minimal hypersurfaces, part I: Dirichlet and eigenvalue problems (Oskar Riedler, University of Potsdam)
Talk 7, 2026.02.09: Potential theory on minimal hypersurfaces, part II: Martin Theory on cones and under blow-ups. (Mattia Fogagnolo, Università di Padova)
Talk 8, 2026.02.23: Proof of the splitting theorem 1. (TBA)
Talk 9, 2026.03.09: Proof of the splitting theorem 2. (TBA)
Talk 10, 2026.03.23: Higher dimensional positive mass theorem. (Joachim Lohkamp, University of Münster)
Seminar Overview:
Click here to view the talks in more details.
Click here to access the notes (last updated: 2025.12.04). These notes contain errors which will be fixed in the next version. Readers are reminded that this is not a published work!