Dimension of the singular set of 2valued stationary graphs
Dimension of the singular set of 2valued stationary graphs

Luca Spolaor, University of California, San Diego
Fine Hall 110
*note location change*
As a consequence of the celebrated Allard’s epsilon regularity theorem, it is well known that the singular set of an integral stationary nvarifold is meager. However, all known examples suggests that the Hausdorff dimension of such singular set should be (n1). In this talk I will present a recent result, joint with J. Hirsch (Leipzig), where we show that if the stationary varifold is a 2valued Lipschitz ngraph, then indeed its singular set is of dimension (n1). I will spend ample time introducing the problem and explaining what are the main difficulties.