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Bastien Jean

Decomposition of unitary representations of abelian groups : The SNAG Theorem
Thursday, 21 September, 2023 - 17:00
Résumé : 

To study the representation of topological groups, it is natural to try to express a representation in terms of irreducible one. In general there exists representation that does not contain irreducible ones, however one can still try to express unitary representation as a "continuous sum" of irreducible representation in some sense. The SNAG theorem is such a result in the case the group is locally compact and abelian. It relies on the theory of projector-valued measure which we will explain in this talk before proving the SNAG theorem.

Institution de l'orateur : 
Institut Fourier
Thème de recherche : 
Salle : 
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