Title: The proof of Willmore conjecture after Marques and Neves

Speaker: Prof. Vicente Miquel(Valencia University, Spain)

Venue: Room 09 at Quan-Zhai (全斋), New location for BICMR, Peking University

Time: May 23nd, 2012, Wednesday,2:00-3:00pm
 

Abstract: The Willmore conjecture states that, among all the immersed tori $T$ in $R^3$, the revolution torus described by the circles of radius $sqqrt{2}$ and 1$ give the minimum value of the integral over $T$ of the square of the mean curvature, $int_T H^2 dA$. After the work of Li and Yau on immersed non embedded tori, it remained to check it only one embedded tori. In a recent paper(*) Marques and Neves proved the conjecture for embedded tori. We shall give an overview of their proof. Since it is a very long paper, we shall concentrate on the main ideas, without technical details.(*) F.C. Marques and A. Neves. " Min-max theory and the Willmore conjecture" arXiv: 1202.6036