Thursday 14 July 2016 from 12:00–13:00 in Carslaw 535A
Please join us for lunch after the talk!
Abstract: We use the quaternionic function theory of Pedit and Pinkall in order to describe constrained Willmore surfaces in the four and three dimensional sphere. We introduce a class of conformal immersions with square integrable Hopf fields and consider sequences in this class with bounded Willmore energy. The Willmore energy defines a bounded measure on the surface with a weak limit in the space of measures. As long as this limit does not contain point measures of weight al least 4 Pi, the corresponding sequences have limits in the same class.