SMS scnews item created by Haotian Wu at Sun 18 Sep 2016 1502
Type: Seminar
Distribution: World
Expiry: 8 Nov 2016
Calendar1: 23 Sep 2016 1030-1130
CalLoc1: Carslaw 535A
CalTitle1: Energy quantisation for the Willmore functional
Auth: haotianw@14-202-233-61.static.tpgi.com.au (hawu2800) in SMS-WASM

# Energy quantisation for the Willmore functional

### Yann Bernard (Monash)

Friday 23 September 2016, 10:30–11:30 in Carslaw 535A.

Abstract: We prove a bubble-neck decomposition and an energy quantisation result for sequences of Willmore surfaces immersed into $\mathbb{R}^{m\ge 3}$ 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).