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Groups definable in o-minimal structures and algebraic groups

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Groups definable in o-minimal structures and algebraic groups

Groups definable in o-minimal structures have been studied by many authors in the last 30 years and include algebraic groups over algebraically closed fields of characteristic 0, semi-algebraic groups over real closed fields, important classes of real Lie groups such as abelian groups, compact groups and linear semisimple groups. In this talk I will present results on groups definable in o-minimal structures, demonstrating a strong analogy with topological decompositions of linear algebraic groups. Limitations of this analogy will be shown through several examples.

- Séminaire Géométrie et théorie des modèles

Détails :

Orateur / Oratrice : Annalisa Conversano
Date : 11 décembre 2020
Horaire : 9h00 - 10h20
Lieu : Zoom