10 papers · 1 filter
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 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…
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…
On the complementary Arthur representations and unitary dual for p-adic classical groups
Alexander Hazeltine, Dihua Jiang, Baiying Liu +2
In [HJLLZ24], we proposed a new conjecture on the structure of the unitary dual of connected reductive groups over non-Archimedean local fields of characteristic zero based on thei…
The Jiang conjecture on the wavefront sets of local Arthur packets
Baiying Liu, Freydoon Shahidi
This is a report on the progress made on a conjecture of Jiang on the upper bound nilpotent orbits in the wave front sets of representations in local Arthur packets of classical gr…