Consider the local Jacquet-Langlands correspondence between the discrete series representations of a general linear group H over some non-Archimedean locally compact field F and those of an inner form G of H. Thanks to the description of the cuspidal representations of such groups by Bushnell-Kutzko's theory of types, one may ask for an explicit description of the local Jacquet -Langlands correspondence in terms of types. A major issue is then to describe how the correspondence behaves with respect to endoclasses. I will explain how this problem can be solved by introducing modular representation theory.
De Ramla Abdellatif
De Vincent Sécherre
De Bertrand Lemaire
De Marko Tadic
De Anne Marie Aubert
De Raphaël Beuzart Plessis
De Wen-Wei Li
De Joël Bellaïche
De Jack Thorne
De Juan Camilo Arosemena Serrato
De Amine Marrakchi
De Shirly Geffen
De Francesca Arici
