arXiv subjects

Alexandru Ioan Badulescu

Publications and source records attributed to Alexandru Ioan Badulescu.

4 recordsLinked to original sources

arXiv2019

The Trace Formula and the Proof of the Global Jacquet-Langlands Correspondence

This is a survey of the proof of the global Jacquet-Langlands correspondence between GL_n and general inner forms, in characteristic zero. The proof is given after a long introduction recalling in some detail the objects and results involved. The paper is based on the notes of the lectures I gave at the doctoral school in CIRM 2016 (Jean-Morlet Chair) organized by Dipendra Prasad, Volker Heiermann and Fiona Murnaghan. It appeared in 2018 in the volume Relative Aspects in Representation Theory, Langlands Functoriality and Automorphic Forms (LNM 2221).

math.NT↗

arXiv2011

On p-adic Speh representations

This note contains new short proofs of known results on Speh representations of inner forms of $GL_n$ over a local non archimedean field of any characteristic.

math.NT↗

arXiv2003

Correspondance de Jacquet-Langlands étendue à toutes les représentations

We propose a generalisation of the Jacquet-Langlands correspondence to the whole Grothendieck group of finite lenght admissible representations. As an application we prove some particular cases of the global Jacquet-Langlands correspondence, and that a class of representations of a inner form of GL_n over a p-adic field is unitarisable, which agree with some conjecture of Tadic.

math.GR↗

arXiv2002

Correspondance de Jacquet-Langlands pour les corps locaux de caractéristique non nulle

We prove the Jacquet-Langlands local correspondence in non-zero characteristic, using the proof by Deligne, Kazhdan and Vignéras for the zero characteristic case and the theory of closed fields of Kazhdan. We also prove the orthogonality relations for an inner form of $GL_n$ in non-zero characteristic.

math.GR↗