3 papers
math.NT2026
An Arithmetic Invariant of the Jacquet-Langlands correspondence
Jun Yang
We describe the local-global compatibility of local Plancherel measures and the Tamagawa measure under the Jacquet-Langlands correspondence. We apply the notion of densities of mod…
math.RT2026
The Global Jacquet-Langlands Correspondence via Tensor Products
Jun Yang
We prove that the global Jacquet--Langlands correspondence for can be realized via tensor products over Hecke algebras. Let be a non-split inner form o…
math.RT2025
The Atiyah-Schmid formula for reductive groups
Jun Yang
We give the generalized Atiyah-Schmid formula for projective tempered representations. Then we prove the Atiyah-Schmid formula for arithmetic subgroups of real reductive groups.