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Isaac Newton Institute for Mathematical Sciences

Arithmetic Geometry

5 January - 3 July 1998

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

EC Summer School

Arithmetic Geometry

Part II : Rational points

30 March - 4 April 1998

The aim of the workshop is to give participants a global view of what is known and what is to be expected of rational points (over global fields), depending on the place of varieties in the geometric classification. Among the topics we plan to address are the following: rational points on curves of higher genus, varieties of general type, pencils of curves of genus one; points of bounded height on Fano varieties; the Brauer-Manin obstruction.

Organizing Committee:

J-L Colliot-Thélène, Professor Sir Peter Swinnerton-Dyer

Participants will include ((*): to be confirmed): D Abramovich, B Birch, S Bloch, A~Buium, G Faltings (*), DR Heath-Brown, J Kollár (*), L Merel, J-F Mestre, P Salberger, NI Shepherd-Barron, J Silverman (*), AN Skorobogatov, Y Tschinkel, P Vojta, JF Voloch (*).

This conference is the first part of an EC Summer School on Arithmetic Geometry, one of the activities of the programme on Arithmetic Geometry at the Newton Institute (organizers: J-L Colliot-Thélène, J Nekovár, C Soulé). Part one is an instructional conference Current trends in arithmetical algebraic geometry to be held the week before, from 23 to 28 March 1998.

Grants: The conference is supported by a grant from the European Community which will provide funding towards the registration, travel and subsistence costs of selected young (under 35 years) participants. Applications from women and anyone living in Greece, Ireland and Portugal and other less favoured regions of the European community are particularly encouraged.

Other limited funds exist for participants from outside the EC. Self-supporting applicants of any age and nationality are welcome.

Applications: The workshop will take place at the Newton Institute and accommodation for participants will be provided at Wolfson Court, adjacent to the Institute. The conference package costs £280 which includes registration fees, accommodation, breakfast and evening meals plus lunch and refreshments during the days that lectures take place.

Completed application forms should be sent to Heather Dawson. Closing Date for the receipt of applications is 30 November 1997

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