A relative trace formula identity for non-tempered spherical varieties
C Wan - arXiv preprint arXiv:2512.03320, 2025 - arxiv.org
C Wan
arXiv preprint arXiv:2512.03320, 2025•arxiv.orgIn 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 …
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 …
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.
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