Stable Blowup for the Higher-Dimensional Skyrme Model

Explore a fascinating lecture on the higher-dimensional Skyrme model and its stable blowup mechanism. Delve into the intricacies of this geometric field theory, which modifies the nonlinear sigma model. Learn how the Skyrme model prevents self-similar collapse and ensures global existence for large data in 3+1 dimensions. Discover recent findings that reveal a different outcome in 5+1 dimensions, where Skyrme's modification leads to finite-time blowup at the self-similar rate. Gain insights into the mathematical complexities of nonlinear waves and relativity as part of the Thematic Programme held at the Erwin Schrödinger International Institute for Mathematics and Physics.