at the

American Institute of Mathematics, Palo Alto, California

organized by

This workshop, sponsored by AIM and the NSF, will be devoted to the study of rational and integral points on algebraic varieties, primarily those of dimension at least two.

We are bringing together researchers in algebraic geometry, diophantine approximation, cohomological methods (e.g. the Brauer-Manin obstruction, universal torsors), analytic methods (e.g. the circle method), and algorithmic arithmetic geometry. We hope especially to facilitate communication between researchers studying theoretical aspects and those with a more computational bent.

The main questions to be addressed concern

- existence of points,
- distribution of points in various topologies, and
- distribution with respect to heights.

Participants include C.L. Basile, F. Bogomolov, T. Browning, L. Caporaso, A. Chambert-Loir, J.-L. Colliot-Thélène, P. Corn, C. David, J. Ellenberg, D. Harari, B. Hassett, R. Heath-Brown, J. Johnson (tentative), A. Kresch, K. Lauter, Y. Manin (tentative), G. Matthews, B. Mazur, W. McCallum, E. Peyre, G. Rémond, F. Rodriguez-Villegas, V. Rotger, P. Salberger, P. Sarnak, A. Shlapentokh, A. Skorobogatov, W. Stein, M. Stoll, P. Swinnerton-Dyer, R. Takloo-Bighash, R. van Luijk, A. Venkatesh, P. Vojta, J. F. Voloch, O. Wittenberg, T. Wooley, and N. Yui.

The application deadline for participation in this workshop has passed.

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