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Transversal Multilinear Harmonic Analysis

Objective

This proposal consists of two intimately related programmes. The aim of Programme 1 is to make major contributions to the celebrated restriction theory for the Fourier transform and combinatorial problems of Kakeya-type using emerging multilinear techniques. The aim of Programme 2 is to develop a multilinear perspective on a much broader family of curvature-related problems in harmonic analysis, including important classes of Radon-like transforms that arise naturally in the theory of dispersive partial differential equations.

The specific objectives represent major challenges at the emerging frontiers of harmonic analysis with a variety of disciplines, including geometric analysis (encompassing heat-flow methods and convex geometry), affine geometry and algebraic topology.

Field of science

  • /natural sciences/mathematics/pure mathematics/mathematical analysis/differential equations/partial differential equations
  • /natural sciences/mathematics/pure mathematics/topology/algebraic topology
  • /natural sciences/mathematics/pure mathematics/geometry

Call for proposal

ERC-2012-StG_20111012
See other projects for this call

Funding Scheme

ERC-SG - ERC Starting Grant

Host institution

THE UNIVERSITY OF BIRMINGHAM
Address
Edgbaston
B15 2TT Birmingham
United Kingdom
Activity type
Higher or Secondary Education Establishments
EU contribution
€ 1 042 293
Principal investigator
Jonathan Bennett (Dr.)
Administrative Contact
Xavier Rodde (Mr.)

Beneficiaries (1)

THE UNIVERSITY OF BIRMINGHAM
United Kingdom
EU contribution
€ 1 042 293
Address
Edgbaston
B15 2TT Birmingham
Activity type
Higher or Secondary Education Establishments
Principal investigator
Jonathan Bennett (Dr.)
Administrative Contact
Xavier Rodde (Mr.)