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math.NT2026
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…
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…