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ВИДЕОТЕКА |
Geometric Measure Theory and Geometric Analysis in Moscow
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Partial regularity of area-minimizing currents mod p A. Marchese |
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Аннотация: I will discuss a first general partial regularity theorem for area minimizing currents mod p, for every p, in any dimension and codimension. Our main result establishes that the interior singular set of m-dimensional area minimizing currents mod p has at most Hausdorff dimension m-1. Moreover the interior singular set is rectifiable and of locally finite Hausdorff measure for odd values of p. Joint work with Camillo De Lellis, Jonas Hirsch, and Salvatore Stuvard. Язык доклада: английский |