CRM: Centro De Giorgi
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ERC Research Period on Diophantine Geometry

Non-archimedean Yomdin-Gromov lemma and applications to diophantine geometry (40')

speaker: François Loeser (Université Pierre et Marie Curie, Paris)

abstract: 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.


timetable:
Thu 4 Oct, 11:20 - 12:00, Sala Conferenze Centro De Giorgi
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