A Bernstein theorem for two-valued minimal graphs in dimension four
- Date: Wednesday 10 March 2021, 16:30 – 17:30
- Location: Online event
- Type: Analysis, Seminars, Pure Mathematics
- Cost: Free
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 firstname.lastname@example.org to request zoom coordinates