Unlikely intersections in algebraic groups and Shimura varieties

March 28 to April 1, 2011

at the

American Institute of Mathematics, Palo Alto, California

organized by

Jonathan Pila and Umberto Zannier

Original Announcement

This workshop 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.

Material from the workshop

A list of participants.

The workshop schedule.

A report on the workshop activities.

Papers arising from the workshop:
The Andre-Oort conjecture
Integer-valued definable functions
Special points and Poincar\'e-extensions
On torsion anomalous intersections