Colloquium de l'IDPThe Nitsche conjecture on doubly-connected minimal surfaces
Tadeusz Iwaniec (University of helsinki)
Thursday 05 November 2009 14:00 - Orléans - Salle de Séminaire
As long ago as 1962 J.C.C. Nitsche conjectured (in his study of doubly-connected minimal surfaces) that a harmonic homeomorphism between circular annuli exists if and only if the target is not too thin. The explicit condition for the target annulus is now known as the Nitsche bound. His intriguing problem remained open for almost a half of a century. In this lecture I will talk about my recent work with Leonid KOVALEV and Jani ONNINEN in which we gave an affirmative answer to the Nitsche Conjecture.