AG : Barbara Bošnjak (U. of Zagreb) : Irreducibility of the parabolic induction of essentially Speh representations and a representation of Arthur type over a p-adic field

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AG : Barbara Bošnjak (U. of Zagreb) : Irreducibility of the parabolic induction of essentially Speh representations and a representation of Arthur type over a p-adic field

25 mars / 13:30 - 15:30

Abstract: In the first part of the talk, we will give a slight insight into how Langlands program connects number theory and a representation theory of reductive p-adic groups. This will motivate the problem of a classification of irreducible unitary representations of these groups, which we will discuss in more detail. Along the way, we will define the objects appearing in the title of the talk. It is also the title of the (unpublished) paper of Alexander Stadler and me. We will state the main theorem of the paper and dedicate the second part of the talk to the description of the results and used methods. We will talk about two significantly different cases: unitary and non-unitary one (regarding the essentially Speh representations appearing in the induction). The first one is based on the description of Arthur packets with extended multi-segments by H. Atobe, while in the second case we rely on the calculations with the Jacquet modules and the derivatives of a representation.

AG : Barbara Bošnjak (U. of Zagreb) : Irreducibility of the parabolic induction of essentially Speh representations and a representation of Arthur type over a p-adic field

Détails

Date :
25 mars
Heure :
13:30 - 15:30
Catégorie d’Évènement:

Lieu

Bâtiment Fermat, salle 4205