Theory of motives, homotopy theory of varieties, and dessins d'enfants
April 23 to April 26, 2004
American Institute of Mathematics,
Palo Alto, California
Gunnar Carlsson and Rick Jardine
This workshop 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
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.
Material from the workshop
A list of participants.
- A preprint by Jack Morava on The Motivic Thom Isomorphism
- A preprint by Rick Jardine on Fibred sites and stack cohomology.
Motivic spaces and the motivic stable category, by Rick Jardine
Stacks and homotopy theory, by Rick Jardine
Pure motives, by Bruno Kahn
Motivic Galois groups, by Bruno Kahn
The Grothendieck Teichmuller group, by Leila Schneps
Curve complexes, Tensor categories, fundamental groupoids, by Leila Schneps
Five Lie algebras, by Leila Schneps
Homotopy types of algebraic varieties, by Bertrand Toen,
Mixed motives and
Mixed Tate motives by Marc Levine (handwritten notes)
The workshop schedule.
A report on the workshop activities.
A list of open problems.