Séminaire de Géométrie

Le 24-05-2013 à 10h45 (Salle 2) Yuri BILU (Bordeaux 1)

Géométrie diophantienne effective

Je parlerai des aspects divers de la géométrie diophantienne moderne: l'aspect de finitude, l'aspect d'existence, l'aspect affectif/algorithmique, l'aspect numérique, en se concentrant sur les deux derniers.

Le 31-05-2013 à 10h45 (Salle 2) Salma Kuhlmann (U. Konstanz)

Fields of generalized power series

Fields of generalized power series are central objects in Model Theory and Algebra. They play an important role in:
- ordered algebraic structures (Hausdorff's lexicographic orders, Hahn's groups),
- non-standard models of arithmetic (integer parts),
- non-standard models of o-minimal expansions of the reals (exponentiation),
- model theory of valued fields (saturated and recursively saturated models, Ax-Kochen principles),
- real algebraic geometry (non-archimedean real closed fields),
- valuation theory (Kaplansky's embedding theorem),
- differential algebra (ordered differential fields, Hardy fields),
- difference algebra (automorphism groups),
- transcendental number theory (Schanuel's conjectures).
I will give an overview of my work with these fascinating objects in the last decade.

Le 07-06-2013 à 10h45 (Salle 2) Rim ESSIFI (Université de Tours)

Marche aléatoire réfléchie sur N

résumé

---

Retrouvez le programme des séminaires en cliquant sur les boutons correspondants.