Unlikely intersections in algebraic groups and Shimura varieties

March 28 to April 1, 2011

at the

Scuola Normale Superiore, Centro di Ricerca Matematica Ennio De Giorgi
Pisa, Italy

organized by

Jonathan Pila and Umberto Zannier

This workshop, sponsored by AIM, Scuola Normale Superiore, and the NSF, will explore the recent conjectures on``unlikely intersections'' due to Zilber, Pink, and Bombieri-Masser-Zannier, and related or analogous problems in model theory, diophantine geometry, and arithmetic dynamics. A particular objective is to increase dialogue between some different interested communities whose interests centre on: (i) Shimura varieties/Andre-Oort conjecture, (ii) diophantine questions on multiplicative groups and abelian varieties, (iii) arithmetic dynamics, and (iv) mathematical logic.

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 parallel working sessions.

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

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