Date/heure
8 novembre 2018
15:30 - 16:30
Oratrice ou orateur
Rafael Dahmen
Catégorie d'évènement Séminaire Théorie de Lie, Géométrie et Analyse
Résumé
The category of weakly complete vector spaces is dual to the category of abstract vector spaces. This fact which is itself easy to verify allows to transfer problems from topological algebra to abstract algebra and vice versa. In this talk, I will explain how to use this duality to analyze unit groups of weakly complete algebras and how to construct the coresponding left adjoint functor, which assigns to each topological group in a natural way a weakly complete algebra, generalizing the group algebra for finite groups. This project is joint work with K. H. Hofmann and S. Morris.