Finite-time degeneration for Teichmüller harmonic map flow
- Date: Wednesday 6 February 2019, 16:30 – 17:30
- Location: Roger Stevens LT 14 (10M.14)
- Type: Analysis and Applications, Seminars, Pure Mathematics
- Cost: Free
Craig Robertson, University of Oxford. Part of the analysis and applications seminar series.
Teichmüller harmonic map flow is a geometric flow designed to evolve combinations of maps and metrics on a surface into minimal surfaces in a Riemannian manifold. I will introduce the flow and describe known existence results, and discuss recent joint work with M. Rupflin that demonstrates how singularities can develop in the metric component in finite time.