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Quasiconformal Methods in Analysis and Applications

Quasiconformal Methods in Analysis and Applications

Objective

The use of delicate quasiconformal methods, in conjunction with convex integration and/or nonlinear Fourier analysis, will be the common theme of the proposal. A number of important outstanding problems are susceptible to attack via these methods. First and foremost, Morrey's fundamental question in two dimensional vectorial calculus of variations will be considered as well as the related conjecture of Iwaniec regarding the sharp $L^p$ bounds for the Beurling transform. Understanding the geometry of conformally invariant random structures will be one of the central goals of the proposal. Uhlmann's conjecture regarding the optimal regularity for uniqueness in Calder\'on's inverse conductivity problem will also be considered, as well as the applications to imaging. Further goals are to be found in fluid mechanics and scattering, as well as the fundamental properties of quasiconformal mappings, interesting in their own right, such as the outstanding deformation problem for chord-arc curves.
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Host institution

AALTO KORKEAKOULUSAATIO SR

Address

Otakaari 1
02150 Espoo

Finland

Activity type

Higher or Secondary Education Establishments

EU Contribution

€ 1 323 000

Beneficiaries (4)

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AALTO KORKEAKOULUSAATIO SR

Finland

EU Contribution

€ 1 323 000

UNIVERSIDAD AUTONOMA DE MADRID

Spain

EU Contribution

€ 405 750

AGENCIA ESTATAL CONSEJO SUPERIOR DEINVESTIGACIONES CIENTIFICAS

Spain

EU Contribution

€ 366 100

HELSINGIN YLIOPISTO

Finland

EU Contribution

€ 185 500

Project information

Grant agreement ID: 834728

Status

Grant agreement signed

  • Start date

    1 September 2019

  • End date

    31 August 2024

Funded under:

H2020-EU.1.1.

  • Overall budget:

    € 2 280 350

  • EU contribution

    € 2 280 350

Hosted by:

AALTO KORKEAKOULUSAATIO SR

Finland