# MAA

## Seminar

### A common generalisation of the conjectures of Andre-Oort, Manin-Mumford and Mordell-Lang

Seminar Room 1, Newton Institute

#### 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.

**Related Links**

- http://www.math.ethz.ch/~pink/publications.html - my publications and preprints
- http://www.math.ethz.ch/~pink/ftp/AOMMML.pdf - a preprint on which my talk is based
- http://www.math.ethz.ch/~pink/ftp/pink.pdf - another article relevant to the topic