Quasi-Tempered Automorphic D-modules
Joakim F{\ae}rgeman
TL;DR
This paper introduces the category of quasi-tempered automorphic D-modules within geometric Langlands, characterizes it via singular support, and derives microlocal categorical K"unneth formulas.
Contribution
It defines and characterizes a new class of D-modules, expanding the understanding of automorphic D-modules in geometric Langlands theory.
Findings
Characterization of quasi-tempered automorphic D-modules via singular support
Development of microlocal categorical K"unneth formulas
Establishment of a natural class of D-modules in geometric Langlands
Abstract
In this paper, we introduce the category of quasi-tempered automorphic D-modules, which is a rather natural class of D-modules from the point of view of geometric Langlands. We provide a characterization of this category in terms of singular support, and as a consequence, we obtain certain microlocal categorical K\"unneth formulas.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Algebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology