Transversal Multilinear Harmonic Analysis

Project Information

TMHA

Grant agreement ID: 307617

Project closed

Start date 1 October 2012

End date 30 September 2018

Funded under

• Specific programme: "Ideas" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013)

Total cost € 1 042 293,00

EU contribution € 1 042 293,00

Coordinated by

THE UNIVERSITY OF BIRMINGHAM
United Kingdom

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.

Fields of science

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

Programme(s)

• FP7-IDEAS-ERC - Specific programme: "Ideas" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013)

Topic(s)

• ERC-SG-PE1 - ERC Starting Grant - Mathematical foundations

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

• EU contribution: € 1 042 293,00
• Address: Edgbaston ; B15 2TT Birmingham ; United Kingdom
• Region: West Midlands (England) › West Midlands › Birmingham
• Activity type: Higher or Secondary Education Establishments
• Principal investigator: Jonathan Bennett (Dr.)
• Administrative Contact: Xavier Rodde (Mr.)
• Total cost: No data

Beneficiaries (1)

THE UNIVERSITY OF BIRMINGHAM

United Kingdom

• EU contribution: € 1 042 293,00
• Address: Edgbaston ; B15 2TT Birmingham
• Region: West Midlands (England) › West Midlands › Birmingham
• Activity type: Higher or Secondary Education Establishments
• Principal investigator: Jonathan Bennett (Dr.)
• Administrative Contact: Xavier Rodde (Mr.)
• Total cost: No data