Stable Automorphic Forms for Semisimple Groups

Abstract

In this paper, we introduce the concept of stable automorphic forms on semisimple algebraic groups. We use the stability of automorphic forms to study infinite dimensional arithmetic varieties.

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“…We use these stable automorphic forms to study the geometric and arithmetic properties of the universal family of special principal polarized real tori. We refer to [28] for more details. For two positive integers m, n ∈ Z + , we introduce the new group…”