A Conjecture for Multiplicities of Strongly Tempered Spherical Varieties
Chen Wan, Lei Zhang
TL;DR
This paper proposes a conjecture regarding the multiplicities of strongly tempered spherical varieties, extending existing epsilon dichotomy conjectures to a broader class of varieties without Type N roots.
Contribution
It introduces a new conjecture that generalizes the epsilon dichotomy conjectures for a wider range of strongly tempered spherical varieties.
Findings
Conjecture formulated for multiplicities of strongly tempered spherical varieties.
Generalization of epsilon dichotomy conjectures.
Framework applicable to varieties without Type N roots.
Abstract
In this paper, we form a conjecture about the multiplicities of all the strongly tempered spherical varieties without Type N root for tempered representations. This generalizes the epsilon dichotomy conjectures of Gan-Gross-Prasad and Wan-Zhang.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Algebra and Geometry · Algebraic Geometry and Number Theory · Analytic Number Theory Research