Theory of motives, homotopy theory of varieties, and dessins d'enfants

April 23 to April 26, 2004

at the

American Institute of Mathematics, Palo Alto, California

organized by

Gunnar Carlsson and Rick Jardine

This workshop, sponsored by AIM and the NSF, will bring together topologists working in the developing area of "homotopy theory of varieties" with number theorists and algebraic geometers working in subjects related to Dessins d'enfants, and to expose them to the techniques and ideas of the various subjects involved both in the number theoretic and topological areas.

The major component of the meeting will be expository lectures on the different areas, at a level which could be appreciated by mathematicians outside the specialized area. There will also be extensive time allotted for discussions. A particular goal for these discussions will be to develop problems and to suggest research directions in these areas, especially directions which investigate possible interplay between the topological and arithmetic points of view.

The workshop will differ from typical conferences in some regards. Participants will be invited to suggest open problems and questions before the workshop begins, and these will be posted on the workshop website. These include specific problems on which there is hope of making some progress during the workshop, as well as more ambitious problems which may influence the future activity of the field. Lectures at the workshop will be focused on familiarizing the participants with the background material leading up to specific problems, and the schedule will include discussion and working sessions.

Invited participants include C. Barwick, K. Behrend, D. Biss, G. Carlsson, A. Dhillon, D. Dugger, J. Ellenberg, H. Esnault, B. Fantechi, M. Hopkins, P. Hu, Y. Ihara, D. Isaksen, R. Jardine, A. Joseph, B. Kahn, L. Khadjavi, I. Kriz, M. Levine, J. Morava, Z. Nie, W. Niziol, L. Pharamond, F. Pop, O. Roendigs, L. Schneps, A. Suslin, B. Toen, M. Vaquie, and M. Wood.

The deadline to apply for support to participate in this workshop has passed.

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