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Arithmetic Geometry

Participation in INI programmes is by invitation only. Anyone wishing to apply to participate in the associated workshop(s) should use the relevant workshop application form.

8th January 1998 to 3rd July 1998

Organisers: J-L Colliot-Thélène (Orsay); J Nekovár (Cambridge); C Soulé (IHES)

Programme Theme

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.

Final Scientific Report: 
University of Cambridge Research Councils UK
    Clay Mathematics Institute The Leverhulme Trust London Mathematical Society Microsoft Research NM Rothschild and Sons