Stable automorphic forms for the general linear group
Jae-Hyun Yang
TL;DR
This paper introduces the concept of stability for automorphic forms on the general linear group and explores its connection to the moduli space of real tori and Jacobian real locus.
Contribution
It defines a new stability notion for automorphic forms and links it to geometric structures like moduli spaces and Jacobian loci.
Findings
Established a formal definition of stability for automorphic forms.
Connected stability to the geometry of moduli spaces and Jacobian loci.
Provided foundational insights for future research in automorphic forms and geometry.
Abstract
In this paper, we introduce the notion of the stability of automorphic forms for the general linear group and relate the stability of automorphic forms to the moduli space of real tori and the Jacobian real locus.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Algebraic Geometry and Number Theory · Geometry and complex manifolds