CORDIS Project
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This project explores Geometric Measure Theory, focusing on currents and their applications in non-Euclidean spaces. It aims to enhance understanding of geometric objects and their properties, particularly in infinite-dimensional contexts, which can impact various fields such as analysis and topology.
Geometric Measure Theory and, in particular, the theory of currents, is one of the most basic tools in problems in Geometric Analysis, providing a parametric-free description of geometric objects which is very efficient in the study of convergence, analysis of concentration and cancellation effects, chenges of topology, existence of solutions to Plateu's problem, etc.
In the last years the PI and collaborators obtained ground-breaking results on the theory of currents in metric spaces and on the…
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