Record #872418

RESTRICTIONAPP

A multilinear approach to the restriction problem with applications to geometric measure theory, the Schrödinger equation and inverse problems

Coordinator	AGENCIA ESTATAL CONSEJO SUPERIOR DEINVESTIGACIONES CIENTIFICAS
Grant period	2019-08-01 - 2021-10-02
Funding body	European Union
Call number	H2020-MSCA-IF-2018
Grant number	841228
Identifier	G:(EU-Grant)841228

Note: The Fourier restriction conjecture, one of main open problems in harmonic analysis, has deep connections with problems in a variety of different fields of mathematics. The aim of this proposal is to further develop the multilinear approach in restriction theory and apply it to several problems in geometric measure theory, the Schrödinger equation and inverse problems. In order to develop this proposal, the Experienced Researcher will join the harmonic analysis group at ICMAT under the supervision of one of its permanent researchers, Keith Rogers, an ERC grant awardee. The host group has extensive experience in the application of harmonic analysis techniques to inverse problems and geometric measure theory, among others. The scientific training strategy of this proposal consists in the assimilation of the techniques of geometric measure theory and inverse problems. While the Researcher is experienced in restriction theory and dispersive equations, as evidenced by his contributions to the field, it is the combination of this prior knowledge with the proposed scientific training that is needed for the successful development of this proposal. This MSC fellowship will achieve a variety of positive outcomes: boosting the convergence of distinct research fields and collaborative networks, producing a synergy with the ERC Starting Grant recently held by the Supervisor, and diversifying the fellow’s mathematical knowledge, ultimately strengthening him as an independent researcher.

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Record created 2020-01-06, last modified 2023-02-17

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