Skip to main content
Ir a la página de inicio de la Comisión Europea (se abrirá en una nueva ventana)
español es
CORDIS - Resultados de investigaciones de la UE
CORDIS
Contenido archivado el 2024-06-16

Arithmetic Algebraic Geometry

Objetivo

The proposed network covers the domain of Arithmetic Algebraic Geometry, a discipline situated at the crossroad of Geometry and Number Theory. It builds on the accomplishments and experience (in both training and research) of three consecutive European networks in this field. Its structure is a direct continuation (and logical further development) of the existing Research Training Network 'AAG' that was financed under the Fifth Framework Programme, which will end in September 2003.

Arithmetic Algebraic Geometry has been an extremely active and successful domain of research over the past thirty years, and is one of the not so many domains of Pure Mathematics where European mathematicians determine the state of the art to a very large extent. To mention only one striking achievement in this field, let us recall the recent proof by Laurent Lafforgue of the celebrated Langlands conjecture over function fields. Lafforgue, a member of the Paris XI team of this proposal, was awarded for this a Fields medal - which in Mathematics plays the role of the Nobel Prize in other disciplines - at the 2002 International Mathematical Congress in Beijing. His research was carried out while he was a member of our previous networks.

The general case of the Langlands conjectures, which now more than ever is a very active and fertile area of research, is one of the core themes of this proposal, the other two being the local and global arithmetic properties of algebraic varieties. Highly visible results such as the proof of the Langlands conjecture are in fact but the tip of an iceberg, whose underlying body is represented by a broad collection of different theories, producing results which are often of foundational and technical nature. Arithmetic Algebraic Geometry borrows from virtually all areas of Mathematics, so that its methods and techniques are very diverse, composite and highly specialised. The complementary expertise of the fourteen teams of the proposed network allow the?

Ámbito científico (EuroSciVoc)

Tema(s)

Convocatoria de propuestas

FP6-2002-MOBILITY-1
Consulte otros proyectos de esta convocatoria

Régimen de financiación

RTN - Marie Curie actions-Research Training Networks

Coordinador

UNIVERSITA DEGLI STUDI DI MILANO
Aportación de la UE
Sin datos
Dirección
Via Festa del Perdono 7
MILANO
Italia
Coste total
Sin datos

Participantes (13)