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Séminaire Géométrie et théorie des modèles

Horaires : Le vendredi 18 mai 2018, 14h15 - 15h45

Lieu : Jussieu, salle 101 couloir 15-16 (1er étage) 4 place Jussieu

Isotrivial Mordell-Lang and finite automata

Rahim Moosa (Waterlloo)

About fifteen years ago, Thomas Scanlon and I gave a description of sets that arise as the intersection of a subvariety with a finitely generated subgroup inside a semiabelian variety over a finite field. Inspired by later work of Derksen on the positive characteristic Skolem-Mahler-Lech theorem, which turns out to be a special case, Jason Bell and I have recently recast those results in terms of finite automata. I will report on this work, as well as on the work-in-progress it has engendered on an effective version of the isotrivial Mordell-Lang theorem.

 

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