Counting Points on Varieties

Description and Aim

Counting Points on Varieties

The subject of the workshop is the very concrete problem of counting points on varieties over fields of arithmetic interest. Many fundamental questions related to this problem have at best conjectural answers, and for many others even the conjectures are still lacking. There has been increased research activity in recent years in this area, and much remains to be done.

The title of the workshop will be taken in the broadest sense possible. The main aim of the workshop is to bring together experts in arithmetic geometry from various backgrounds. The program will have ample time for informal discussion.

There will be particular attention to the three subjects of the DIAMANT Stieltjes onderwijsweek, an instructional workshop for students and young postdocs to be held the week before: L-series and their relation to modern cohomology theories such as Weil-étale cohomology and Arakelov Chow groups, the Birch and Swinnerton-Dyer conjecture, and the Batyrev-Manin conjecture on the growth of the number of rational points on varieties over global fields.

The last day of the conference will be dedicated to the celebration of the sixtieth birthday of Hendrik Lenstra.