A Bernstein theorem for two-valued minimal graphs in dimension four

Dr Fritz Hiesmayr (UCL) will present his research in Analysis.

The Bernstein theorem is a classical result for minimal graphs. It states that a globally defined solution of the minimal surface equation on R^n must be linear, provided the dimension is small enough. We present an analogous theorem for two-valued minimal graphs, valid in dimension four. By definition two-valued functions take values in the unordered pairs of real numbers; they arise as the local model of branch point singularities. The plan is to juxtapose this with the classical single-valued theory, and explain where some of the difficulties emerge in the two-valued setting.

The talks are held using zoom. Anyone interested in attending (outside the School of Mathematics) should email Ben Sharp at b.g.sharp@leeds.ac.uk to request zoom coordinates