Energy quantization for the Willmore functional

Title Energy quantization for the Willmore functional

 

SpeakerYann Bernard(Universit t Freiburg

 

Date:  2:30-3:30 pm; October 29; 2013

 

PlaceConference Room A304, Department of Mathematical Sciences

 

AbstractWe prove a bubble-neck decomposition and an energy quantization result for sequences of Willmore surfaces immersed into R^m (m>2) with uniformly bounded energy and non-degenerating conformal structure. We deduce the strong compactness (modulo the action of the Moebius group) of closed Willmore surfaces of a given genus below some energy threshold. This is joint-work with Tristan Rivière (ETH Zürich)

 

ContactYuxiang Li