|Responsables :||L. Hauswirth, P. Laurain, R. Souam, E. Toubiana|
|Email des responsables :|
|Adresse :||Sophie Germain|
Hébergé par le projet Géométrie et Dynamique de l’IMJ-PRG
|Orateur(s)||Michele RIMOLDI - LAGA, Paris 13,|
|Titre||Properness and boundedness properties of complete self-shrinkers of the mean curvature flow|
|Horaire||13:30 à 15:00|
|Résume||In this talk we will focus on geometric properties of complete non-compact self-shrinkers for the mean curvature flow which are confined into some regions of the ambient Euclidean space. Notably, we will obtain natural restrictions that force bounded complete self-shrinkers to be compact and we will observe that, to a certain extent, complete self-shrinkers intersect transversally a hyperplane through the origin. These results were inspired by a conjecture by H.D. Cao concerning the extrinsic polynomial volume growth of complete self-shrinkers.
This is a joint work with Stefano Pigola.