Objective
Number theory is among the oldest and most central disciplines in mathematics. It has truly fascinating connections to algebraic geometry, combinatorics, ergodic theory, representation theory, and mathematical physics. Many of these connections as well as deep intrinsic properties are formulated in the language of L-functions.
An important task is to establish subconvex bounds for automorphic L-functions. Such bounds reflect the arithmetic nature of their source objects as they cannot be derived from simple analytic principles. In return, they provide the key to the solution of several difficult Diophantine problems addressing equidistribution phenomena.
Proving these bounds unconditionally also sheds light on the Grand Riemann Hypothesis as they are consequences of it. Gergely Harcos, the researcher of the present proposal, is an active participant in this area. After a decade of successful work in the United States he intends to return to Europe and pursue his research program in the stimulating and supportive environment of the Renyi Institute.
His efforts would be enforced by the complementary skills of the experts at the host in the theory of algebraic groups and automorphic forms, and in analytic number theory. In addition, the researcher would receive advanced training in combinatorial number theory and prime number theory, which are important for his future career.
The ultimate goal for the researcher is to integrate his research at the host and start new or revive past scientific collaboration with members of the host. The project would strengthen and diversify the mathematical profile of Hungary, one of the new Member States of the European Union, by introducing an important new line of mainstream research and by providing new links to colleagues worldwide.
The project would also contribute towards reversing brain drain. In short, the proposed project would enhance the potential and the attractiveness of the European Research Area.
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 applied mathematics mathematical physics
- natural sciences mathematics pure mathematics discrete mathematics combinatorics
- natural sciences mathematics pure mathematics arithmetics prime numbers
- natural sciences mathematics pure mathematics arithmetics L-functions
- natural sciences mathematics pure mathematics algebra algebraic geometry
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Keywords
Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)
Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)
Programme(s)
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
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.
FP6-2005-MOBILITY-5
See other projects for this call
Funding Scheme
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.
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
BUDAPEST
Hungary
The total costs incurred by this organisation to participate in the project, including direct and indirect costs. This amount is a subset of the overall project budget.