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Arithmetic Algebraic Geometry

Objective

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?

Call for proposal

FP6-2002-MOBILITY-1
See other projects for this call

Funding Scheme

RTN - Marie Curie actions-Research Training Networks

Coordinator

UNIVERSITA DEGLI STUDI DI MILANO
Address
Via Festa Del Perdono 7
Milano
Italy

Participants (13)

WESTFAELISCHE WILHELMS - UNIVERSITAET MUENSTER
Germany
Address
Schlossplatz 2
Muenster
UNIVERSITA DEGLI STUDI DI PADOVA
Italy
Address
Via 8 Febbraio, 2
Padova
UNIVERSITE DE PARIS-SUD XI
France
Address
Avenue Georges Clemenceau 15
Orsay
UNIVERSITE DE PARIS-NORD XIII
France
Address
Avenue Jean-baptiste Clement 99
Villetaneuse
UNIVERSITAET REGENSBURG
Germany
Address
Universitaetsstrasse 31
Regensburg
UNIVERSITE DE RENNES 1
France
Address
Rue Du Thabor 2
CS46510 Rennes
UNIVERSITE LOUIS PASTEUR
France
Address
Rue Blaise Pascal 4
Strasbourg
UNIVERSITY OF TOKYO
Japan
Address
3-1 Hongo 7-Chome, Bunkyo-ku
Tokyo
UNIVERSIDAD AUTONOMA DE BARCELONA
Spain
Address
Campus Universitari
Bellaterra (Cerdanyola Del Valles)
MAX PLANCK GESELLSCHAFT ZUR FOERDERUNG DER WISSENSCHAFTEN E.V.
Germany
Address
Hofgartenstrasse 8
101062 Muenchen
THE CHANCELLOR, MASTERS AND SCHOLARS OF THE UNIVERSITY OF CAMBRIDGE
United Kingdom
Address
The Old Schools, Trinity Lane
Cambridge
UNIVERSITY OF DURHAM
United Kingdom
Address
University Office, Old Elvet
Durham
THE HEBREW UNIVERSITY OF JERUSALEM
Israel
Address
Mt Scopus Campus
Jerusalem