8 papers
On Jiang's wavefront sets conjecture for representations in local Arthur packets
Baiying Liu, Freydoon Shahidi
This paper serves as an attempt towards the Jiang conjecture on the upper bound nilpotent orbits in the wavefront sets of representations in local Arthur packets of quasi-split cla…
On the upper bound of wavefront sets of representations of p-adic groups
Alexander Hazeltine, Baiying Liu, Chi-Heng Lo +1
In this paper we study the upper bound of wavefront sets of irreducible admissible representations of connected reductive groups defined over non-Archimedean local fields of charac…
On corank 4 unitary representations of classical groups
Baiying Liu, Chi-Heng Lo, Brian Wen
In this paper, we explicitly classify the corank 4 unitary representations of symplectic or split odd special orthogonal groups over non-Archimedean local fields of characteristic…
On Arthur representations and the unitary dual
Alexander Hazeltine, Dihua Jiang, Baiying Liu +2
In this paper, we propose a new conjecture describing the structure of the unitary dual in terms of Arthur representations for connected reductive algebraic groups defined over any…
Covering Barbasch-Vogan duality and wavefront sets of genuine representations
Fan Gao, Baiying Liu, Chi-Heng Lo +1
In this paper, we start by defining a covering Barbasch-Vogan duality and prove some of its properties. Then, for genuine representations of -adic covering groups we formulate a…
The FPP Conjecture for p-adic Groups
Dihua Jiang, Baiying Liu, Chi-Heng Lo +1
The FPP conjecture, proposed by J. Adams, S. Miller, and D. Vogan and proved by D. Davis and L. Mason-Brown in arXiv:2411.01372, imposes a strong upper bound on the infinitesimal c…