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math.NT2026
Ramanujan Complexes from Unitary Groups over Number Fields
Rahul Dalal, Alberto MÃnguez, Jiandi Zou
In this article, we construct new families of Ramanujan complexes with local structure distinct from all previously known examples. Our approach is based on unitary groups over num…
math.NT2025
Local Intertwining Relations and Co-tempered -packets of Classical Groups
Hiraku Atobe, Wee Teck Gan, Atsushi Ichino +3
The local intertwining relation is an identity that gives precise information about the action of normalized intertwining operators on parabolically induced representations. We pro…