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Structure Theorems for Modern Aspects of Geometric Measure Theory

Project description

Geometric measure theory could answer long-standing open problems in mathematics

The aim of the EU-funded STMAGMT project is to lay theoretical foundations in different areas of geometric measure theory to answer fundamental questions that relate to modern mathematical analysis. The project will expand on newly developed geometric measure theory techniques that address arbitrary metric spaces to solve seemingly unrelated problems in different fields of mathematical analysis, such as the calculus of variations, harmonic analysis and geometric function theory, and differential geometry. The project will concentrate on three main objectives: generalising classical characterisations of rectifiability to non-Euclidean settings; proving a quantitative analogue to the Besicovitch-Federer projection theorem; and solving the flat chain conjecture of Ambrosio and Kirchheim.

Call for proposal

ERC-2020-STG
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Host institution

THE UNIVERSITY OF WARWICK
Address
Kirby Corner Road - University House
CV4 8UW Coventry
United Kingdom
Activity type
Higher or Secondary Education Establishments
EU contribution
€ 1 421 562

Beneficiaries (1)

THE UNIVERSITY OF WARWICK
United Kingdom
EU contribution
€ 1 421 562
Address
Kirby Corner Road - University House
CV4 8UW Coventry
Activity type
Higher or Secondary Education Establishments