3 papers
math.NT2024
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…
math.RT2023
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…
math.RT2023
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…