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 hypersurfaces to exhibit codimension 1 singularities like triple junctions, and has close connections to the known regularity theory for stable minimal hypersurfaces. Early works on the regularity theory in this framework date back to Federer & L. Simon (p=2), J. Taylor (p=3) and White (p=4), while for general p, the recent work of De Lellis-Hirsch-Marchese-

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# Rectifiability of flat singularities for mod(p) area-minimizing hypersurfaces

Anna Skorobogatova, Princeton University

Tuesday, January 31, 2023 - 1:30pm to 3:30pm

PDL C-401