Calculus of Variations and Geometric Measure Theory

Variational methods and applications

The vanishing mass conjecture and related geometric questions

Giovanni Alberti (Dip. Mat. Univ. Pisa)

created by paolini on 08 Sep 2021
modified on 14 May 2022

10 sep 2021 -- 09:30   [open in google calendar]

Abstract.

Guy Bouchitté formulated the "Vanishing Mass Conjecture" about twenty years ago in connection to a problem of shape optimization of light structures; to my knowledge the only progress in this direction has been obtained by Babadjian, Iurlano and Rindler only this year. In this talk I will illustrate this conjecture placing the emphasis on the underlying geometric nature, and explore the connections to other results and questions of geometric (and measure-theoretic) flavor.