2 citations · 3 across the 13 of their papers we have counts for
13 papers
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…
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…
On anti-tempered local Arthur packets and a lemma of Arthur
Baiying Liu, Chi-Heng Lo, Freydoon Shahidi
In this paper, following Arthur's ideas, we rework the process of constructing the anti-tempered local Arthur packets for quasi-split classical groups and their pure inner forms. I…
The generic dual of p-adic groups and applications
Chris Jantzen, Baiying Liu
In this paper, we give a uniform classification of the generic dual of quasi-split classical groups, their similitude counterparts, and general spin groups. As applications, for qu…
On the enhanced Shahidi conjecture and global applications
Alexander Hazeltine, Baiying Liu, Chi-Heng Lo
In this paper, applying the intersection theory of local Arthur packets, for symplectic and split odd special orthogonal groups G_n, we give the first complete proof of the enhance…
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…
A Converse Theorem for Split over Finite Fields
Alexander Hazeltine, Baiying Liu
We prove a converse theorem for split even special orthogonal groups over finite fields. This is the only case left on converse theorems of split classical groups and the difficult…
The closure ordering conjecture on local Arthur packets of classical groups
Alexander Hazeltine, Baiying Liu, Chi-Heng Lo +1
In this paper, we prove the closure ordering conjecture on the local -parameters of representations in local Arthur packets of $\mathrm{G}_n=\mathrm{Sp}_{2n}, \mathrm{SO}_{2n+1}…