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Non-archimedean Yomdin-Gromov lemma and applications to diophantine geometry

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Speaker: 
François Loeser
Date: 
Wed, 13/06/2012 - 14:50 - 15:50
Location: 
MPIM Lecture Hall

This will be a report on joint work with R. Cluckers and G. Comte. We shall present non-archimedean versions of the mean value theorem and the Yomdin-Gromov lemma, for certain classes of valued fields including $\mathbb{Q}_{p}$ and $\mathbb{C}(t)$. These results are applied to get non-archimedean analogues of some classical results in diophantine geometry by Bombieri-Pila, Pila and Pila-Wilkie.

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