Abstract

There are few known general regularity results for stationary integral varifolds aside from Allard’s celebrated theory. The primary reason for this is the possibility of a degenerate type of singularity known as a branch point, where at the tangent cone level singularities vanish and are replaced with regions of higher multiplicity. In this talk I will discuss a recent regularity theory for branched stable hypersurfaces which do not contain certain so-called classical singularities, including new tangent cone uniqueness results in the presence of branch points. This theory can be readily applied to area minimising hypercurrents mod p, which resolves an old conjecture from the work of Brian White. Some results are joint with Neshan Wickramasekera.

Agenda

8:30 p.m. Get-together

9:00 p.m. Presentation: Paul Minter

10:00 p.m. Questions and Discussions

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