Colloquia Patavina: Model theory of fields and some of its applications

Martedi' 8 Giugno 2010 - Prof.ssa Elisabeth Bouscaren


Martedi' 8 Giugno 2010 alle ore 16:00 in aula 1A/150 della
Torre Archimede la Prof.ssa Elisabeth Bouscaren (CNRS - Univ.Paris XI) terra' una conferenza della serie Colloquia Patavina.

La Commissione Colloquia
M.A. Garuti, M. Pavon, M. Pitteri, F. Rossi

Model theory of fields and some of its applications

Elisabeth Bouscaren (CNRS - Univ.Paris XI)

Model Theory is a branch of Mathematical Logic which is relatively recent and still not very wwell-known, in spite of its strong links to algebra and geometry. We will first try to present the very basic notions (definable sets, compactness, transfer principles) through some classical examples of applications of the model theory of fields (in particular, the transfer theorems of Ax-Kochen-Ersov about
Henselian valued fields and their application to a conjecture of Artin in the 60's). We will then present some recents applications of model theory, focusing on the interactions with number theory and algebraic geometry.

-Pagina web

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