Year: 2025
Type: preprint
Abstract: In this paper, motivated by some previous works in residue method and the recent theory of the relative Langlands duality, we prove a relative trace formula identity that compares the period integral of non-tempered spherical varieties with the period integral of a tempered spherical varieties associated to a Levi subgroup. This allows us to incorporate numerous relative trace formula comparisons studied during the last four decades under the relative Langlands duality framework. We will also propose a conjectural comparison for general non-tempered Hamiltonian spaces.
Source: arXiv (Cornell University)
Author: Wan, Chen
Institution: Rutgers, The State University of New Jersey
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4417028077
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