3 citations · 6 across the 16 of their papers we have counts for
16 papers
The intersection of local Arthur packets for even orthogonal groups and applications
Alexander Hazeltine, Baiying Liu, Chi-Heng Lo
We give algorithms to explicitly compute local Arthur packets and their intersections for even orthogonal groups over -adic fields using extended multi-segments. In additi…
Beyond the Adams Conjecture
Alexander Hazeltine, Aarya Kumar, Andrew Tung
For symplectic and even orthogonal groups over a -adic field, we determine the number of local Arthur packets containing the local theta lift of a tempered representation at the…
Algorithms on the Pyasetskii involution on local Langlands parameters of classical groups
Alexander Hazeltine, Chi-Heng Lo
We give an algorithm to compute the Pyasetskii involution for , and . The algorithm is a combination of Moeglin-Waldspurger'…
Functoriality and the theta correspondence
Alexander Hazeltine
We study the functoriality of the local theta correspondence for classical -adic groups. This is realized via the adaptation of the Adams conjecture to ABV-packets. We provide e…
On Arthur packets containing a fixed tempered representation
Alexander Hazeltine, Aarya Kumar, Andrew Tung
We determine the number of local Arthur packets containing a certain fixed tempered representation for classical -adic groups. More specifically, given a tempered extended multi…
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…
A local converse theorem for quasi-split even special orthogonal groups
Alexander Hazeltine
We give a direct proof of the local converse theorem for quasi-split non-split over a local non-Archimedean field of characteristic , applying the theor…
A converse theorem for quasi-split even special orthogonal groups over finite fields
Alexander Hazeltine
We prove a converse theorem for the case of quasi-split non-split even special orthogonal groups over finite fields. There are two main difficulties which arise from the outer auto…
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 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…
The Adams conjecture and intersections of local Arthur packets
Alexander Hazeltine
The Adams conjecture states that the local theta correspondence sends a local Arthur packet to another local Arthur packet. Mœglin confirmed the conjecture when lifting to groups o…
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 the local converse Theorem for split
Alexander Hazeltine, Baiying Liu
In this paper, we prove the local converse theorem for split even special orthogonal groups over a non-Archimedean local field of characteristic zero. This is the only case left on…
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}…
On the intersection of local Arthur packets for classical groups and applications
Alexander Hazeltine, Baiying Liu, Chi-Heng Lo
In this paper, for symplectic and split odd special orthogonal groups, we develop an account of theory on the intersection problem of local Arthur packets. Specifically, following…