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Geometric Measure Theory in non-Euclidean spaces

Objective

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 theory of surface measures in Carnot-Caratheodory spaces. The goal of the project is a wide range analysis of Geometric Measure Theory in spaces with a non-Euclidean structure, including infinite-dimensional spaces.

Field of science

  • /natural sciences/mathematics/pure mathematics/topology

Call for proposal

ERC-2009-AdG
See other projects for this call

Funding Scheme

ERC-AG - ERC Advanced Grant

Host institution

SCUOLA NORMALE SUPERIORE
Address
Piazza Dei Cavalieri 7
56126 Pisa
Italy
Activity type
Higher or Secondary Education Establishments
EU contribution
€ 749 800
Principal investigator
Luigi Ambrosio (Prof.)
Administrative Contact
Daniele Altamore (Dr.)

Beneficiaries (1)

SCUOLA NORMALE SUPERIORE
Italy
EU contribution
€ 749 800
Address
Piazza Dei Cavalieri 7
56126 Pisa
Activity type
Higher or Secondary Education Establishments
Principal investigator
Luigi Ambrosio (Prof.)
Administrative Contact
Daniele Altamore (Dr.)