Year: 2025
Type: article
Abstract: In this paper, we compute the local relative characters for 10 strongly tempered spherical varieties in the unramified case. We also study the local multiplicity for these models. By proving a geometric multiplicity formula, we show that the summation of the multiplicities is always equal to 1 over each local tempered Vogan L L -packet defined on the pure inner forms of the strongly tempered spherical varieties. Finally, we formulate the Ichino–Ikeda type conjecture on a relation between the period integrals and the central values of certain automorphic L L -functions for those strongly tempered spherical varieties.
DOI: 10.1090/memo/1590
Authors: Chen Wan, Lei Zhang
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4413103650