11 papers
A nonabelian Fourier transform for tempered unipotent representations, II
Anne-Marie Aubert, Dan Ciubotaru, Beth Romano
We extend the construction of the nonabelian Fourier transform proposed in our previous paper from the space of unipotent elliptic characters to the space of unipotent compact char…
The theta correspondence over finite fields
Anne-Marie Aubert
This set of lecture notes is an expanded version of a mini-course the author gave in March of 2025 for the program ``Representation Theory \& Noncommutative Geometry" at the Instit…
A twisted Hecke algebra, then and now, and a Klein bottle of tempered representations
Anne-Marie Aubert, Roger Plymen
Let be a non-archimedean local field such that , with the order of the residue field of , and let be the depth-zero cuspidal pair for the twisted Lev…
Comparison of the Sally-Shalika character formulas with the endoscopic character identities for
Anne-Marie Aubert, Roger Plymen
We consider the depth-zero supercuspidal -packets of where is a non-archimedean local field of characteristic zero. We compare the explicit endoscopic cha…
On Kazhdan-Yom Din asymptotic Schur orthogonality for K-finite matrix coefficients
Anne-Marie Aubert, Alfio Fabio La Rosa
In a recent article, D. Kazhdan and A. Yom Din conjectured the validity of an asymptotic form of Schur's orthogonality for tempered irreducible unitary representations of semisimpl…
Affine Hecke algebras for classical p-adic groups
Anne-Marie Aubert, Ahmed Moussaoui, Maarten Solleveld
We consider four classes of classical groups over a non-archimedean local field F: symplectic, (special) orthogonal, general (s)pin and unitary. These groups need not be quasi-spli…