SMS scnews item created by Stephan Tillmann at Fri 8 Jul 2016 1557
Type: Seminar
Modified: Mon 11 Jul 2016 1201; Mon 11 Jul 2016 1202
Distribution: World
Expiry: 7 Oct 2016
Calendar1: 14 Jul 2016 1200-1300
CalLoc1: Carslaw 535A
CalTitle1: The analysis of constrained Willmore surfaces from the viewpoint of quaternionic function theory
Auth: tillmann@p710.pc (assumed)

Geometry & Topology

The analysis of constrained Willmore surfaces from the viewpoint of quaternionic function theory

Martin Schmidt (Mannheim)

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.

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