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math.NT2021
Higher Ext-groups and Relatively Supercuspidal Spectra
Li Cai, Yangyu Fan
Relatively supercuspidal representations are analogue of supercuspidal representations in the relative Langlands program. This work studies relatively supercuspidal representations…
math.NT2021★ 2 cited
Families of Canonical Local Periods on Spherical Varieties
Li Cai, Yangyu Fan
We consider the variation of canonical local periods on spherical varieties proposed by Sakellaridis-Venkatesh in families. We formulate conjectures for the rationality and meromor…
math.NT2021
Isolation of the Cuspidal Spectrum: the Function Field Case
Li Cai, Bin Xu
Isolating cuspidal automorphic representations from the whole automorphic spectrum is a basic problem in the trace formula approach. For example, matrix coefficients of supercupida…