Fritz Heismayr will talk on 19th January, at 1.45pm UK time, or 2.45pm Belgian time. The title of Fritz’s talk is “A Bernstein theorem for two-valued minimal graphs in dimension four” and the abstract is below.
A Bernstein theorem for two-valued minimal graphs in dimension four
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.