An Isaac Newton Institute Workshop

Model Theory, Algebraic and Analytic Geometry

A Common Generalization of the Conjectures of André-Oort, Manin-Mumford, and Mordell-Lang

12th July 2005

Author: Richard Pink (ETH Zurich)

Abstract

The formal similiarity between the Manin-Mumford and Mordell-Lang conjectures on the one hand, and the Andre-Oort conjecture on the other hand, suggests that a common generalization should exist for subvarieties of mixed Shimura varieties. We propose such a conjecture, explain why it implies all the stated conjectures, and explain its relation with existing results.

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