Calculus of Variations and Geometric Measure Theory

Extracting subcomplexes on nilpotent groups without relying on homogeneous structures.

Francesca Tripaldi (Centro De Giorgi, SNS Pisa)

created by malchiodi on 15 Oct 2024

30 oct 2024 -- 15:00   [open in google calendar]

Scuola Normale Superiore, Aula Bianchi

Abstract.

I will present a general construction of subcomplexes on nilpotent Lie groups equipped with a Riemannian metric. The aim is to emphasise how relying on different structures (homogenous and non-homogenous ones) affects the resulting subcomplex. I will then show how particular subcomplexes are better suited than others depending on the geometric setting and the possible applications.