Objective
In groundbreaking work, the researcher has developed the first ever algorithm for explicitly determining the mod l-Galois representations of classical modular forms. He has applied this to the Inverse Galois Problem and to Lehmer's Conjecture on the non-vanishing of the Ramanujan tau-function. Arguably the greatest advance in arithmetic geometry within the last decade has been the proof by Khare and Wintenberger of Serre's Conjectures over the rationals. A version of Serre's Conjectures over totally real fields has been suggested by Buzzard, Diamond and Jarvis, complete with explicit formulae for the Serre 'weights' and 'levels'. The broad objectives of the proposal are as follows: 1. Improve the researcher's algorithms for the explicit determination of mod l-Galois representations of classical modular forms. 2. Give a corresponding algorithm for Hilbert modular forms. 3. With the help of 2, provide systematic evidence for Serre's Conjectures over real quadratic fields. 4. Systematically apply the Galois representations of classical and Hilbert modular forms to the Inverse Galois Problem.
Fields of science (EuroSciVoc)
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
- natural sciences mathematics pure mathematics arithmetics
- natural sciences mathematics pure mathematics geometry
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Programme(s)
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Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Topic(s)
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Call for proposal
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
FP7-PEOPLE-2009-IEF
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Funding Scheme
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Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
Coordinator
CV4 8UW COVENTRY
United Kingdom
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