In this talk I want to give an overview of results concerning the constrained Willmore problem, i.e, the problem of finding Willmore energy minimizing immersions from a given Riemann surface. In particular, I will present a family of constant mean curvature tori in the round 3-sphere discovered by Kilian-Schmidt-Schmitt that deforms the Clifford.  I show that these so-called 2-lobed Delaunay tori are viable (constrained) minimizer candidates, as they all (constrained) Willmore stable and minimizing when restricting to the class of isothermic immersions.  The talk is based on joint work with Sebastian Heller and Cheikh Birahim Ndiaye.

邀请人：马辉