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Geometric Analysis and Partial Differential Equations Seminar
October 22, 2013 @ 10:30 am - 11:30 pm
Dr Yann Bernard (Freiburg University)
Energy quantization for the Willmore functional
We 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).