The origin of this subject was the study of solutions of Diophantine Equations - that is the the search for integer or rational solutions of systems of polynomial equations - using geometric methods. Today, Arithmetic Geometry has expanded to cover a wide range of topics central to Number Theory, Algebraic Geometry and other branches of pure mathematics. The programme will highlight several areas of this vast subject, including: arithmetic of algebraic cycles, motivic cohomology, rational points on algebraic varieties, Arakelov theory, and regulators and special values of L-functions.
As a part of the European Commission's Training and Mobility of Researchers programme, a three-month post-doctoral position is offered for research work related to the programme.
Click here to download the programme's final scientific report
Title | Year | Programme | |
---|---|---|---|
Un principe local-global pour les zéro-cycles sur les surfaces fibrés en coniques au-dessus d'une courbe de genre quelconqueAuthors: J-L Colliot-thelene |
1997 | AMG | 21 October 2016 |
Arithmetic of diagonal quartic surfaces, IIAuthors: RGE Pinch, HPF Swinnerton-Dyer |
1997 | AMG | 21 October 2016 |
The solubility of diagonal cubic diophantine equationsAuthors: DR Heath-brown |
1997 | AMG | 21 October 2016 |
The Cassels-Tate pairing on polarized Abelian varietiesAuthors: B Poonen, M Stoll |
1997 | AMG | 21 October 2016 |
Isotropy of quadratic forms over function fields of curves over $p$-adic fieldsAuthors: R Parimala, V Suresh |
1997 | AMG | 21 October 2016 |
Application of motivic complexes to negligible classesAuthors: E Peyre |
1997 | AMG | 21 October 2016 |
Torseurs universels et méthode du cercleAuthors: E Peyre |
1997 | AMG | 21 October 2016 |
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