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 sciencesmathematicspure mathematicstopologyalgebraic topologynatural sciencesmathematicspure mathematicsgeometrynatural sciencesmathematicspure mathematicsmathematical analysisdifferential equationspartial 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 Coordinator THE UNIVERSITY OF BIRMINGHAM Address Edgbaston B15 2TT Birmingham United Kingdom See on map Region West Midlands (England) West Midlands Birmingham Activity type Higher or Secondary Education Establishments Principal investigator Jonathan Bennett (Dr.) Administrative Contact Xavier Rodde (Mr.) Links Contact the organisation Opens in new window Website Opens in new window EU contribution No data Beneficiaries (1) Sort alphabetically Sort by EU Contribution Expand all Collapse all THE UNIVERSITY OF BIRMINGHAM United Kingdom EU contribution € 1 042 293,00 Address Edgbaston B15 2TT Birmingham See on map Region West Midlands (England) West Midlands Birmingham Activity type Higher or Secondary Education Establishments Principal investigator Jonathan Bennett (Dr.) Administrative Contact Xavier Rodde (Mr.) Links Contact the organisation Opens in new window Website Opens in new window Other funding No data
