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Contenuto archiviato il 2024-06-16

Galois theory and explicit methods

Obiettivo

Driven by applications in data security and networking, computational techniques are gaining importance in a range of areas in number theory and arithmetic geometry. The GTEM network will unite 12 centres of expertise of international stature in this broad range in a common research project to make hitherto purely abstract parts of advanced number theory and arithmetic geometry accessible to efficient computation. This project will develop feasible computational methods in the areas with proven or expected applications in cryptology and coding theory. To illustrate the goalm recall that numerical analysis is the discipline that makes the mathematical notion of a real number, which is intrinsically infinite in nature, accessible to calculations on a computer through schemes for efficient finite precision computations. The present objective is to find methods to model more complex mathematical objects than real numbers such as elliptic curves and Galois representations with a particular focus on the objects a rising in the mathematics of data security and networking. The training goal is to educate young European mathematicians that are capable of meeting the challenges of new applications of advanced number theory and arithmetic geometry in communications, bot h for academia and industry. The network will appoint 12 ESRs that will each complete a PhD thesis on tasks in the project.

Campo scientifico (EuroSciVoc)

Argomento(i)

Invito a presentare proposte

FP6-2005-MOBILITY-1
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Meccanismo di finanziamento

RTN - Marie Curie actions-Research Training Networks

Coordinatore

UNIVERSITEIT LEIDEN
Contributo UE
Nessun dato
Costo totale
Nessun dato

Partecipanti (12)