Families of Canonical Local Periods on Spherical Varieties

Abstract

We consider the variation of canonical local periods on spherical varieties proposed by Sakellaridis-Venkatesh in families. We formulate conjectures for the rationality and meromorphic property of canonical local periods and establish these conjectures for strongly tempered spherical G-varieties without type N-roots when G is split.

To appear in Math. Ann

References in corpus (3)

• Endoscopic Classification of Representations: Inner Forms of Unitary Groups
• Coherent sheaves on the stack of Langlands parameters
• Coherent Springer theory and the categorical Deligne-Langlands correspondence

Cited by in corpus (1)

• Higher Ext-groups and Relatively Supercuspidal Spectra