De Giorgi and Gromov working together

TL;DR

This paper highlights the conceptual parallels and interactions between De Giorgi's $ ext{ extbackslash Gamma}$-convergence and Gromov's convergence of geometric structures, emphasizing their complementary roles in mathematical analysis.

Contribution

It draws a conceptual connection between two major convergence theories introduced by De Giorgi and Gromov, illustrating their fruitful interaction despite no direct collaboration.

Findings

Identifies the conceptual match between $ ext{ extbackslash Gamma}$-convergence and Gromov's convergence.

Shows how these convergence notions interact and complement each other in mathematical analysis.

Highlights the influence of these concepts on the development of geometric and variational analysis.

Abstract

The title is meant as way to honor two great mathematicians that, although never actually worked together, introduced concepts of convergence that perfectly match each other and very fruitfully interact: De Giorgi's $\Gamma$-convergence of lower semicontinuous functions and Gromov's convergence of geometric structures.