• Speaker: Anna Skorobogatova
• Time: 4:40-5:40
• Abstract: One possible framework in which to study the Plateau problem is by using currents with mod(p) coefficients, for a fixed integer p. This setting allows for minimizing surfaces to exhibit codimension 1 singularities like triple junctions, and has close connections to the known regularity theory for stable minimal surfaces. In this talk, I will discuss joint work with Camillo De Lellis and Paul Minter where we establish a structural result on the interior singular set when the surface has higher codimension, which is an analogue of that known for hypersurfaces. I will emphasize the difficulties that arise here in contrast to the codimension 1 setting.