9 citations · 21 across the 12 of their papers we have counts for
6 papers · 1 filter
Unitary Friedberg-Jacquet periods and their twists: Relative trace formulas
Spencer Leslie, Jingwei Xiao, Wei Zhang
In a companion paper, we formulated a global conjecture for the automorphic period integral associated to the symmetric pairs defined by unitary groups over number fields, generali…
Unitary Friedberg-Jacquet periods and their twists: Fundamental lemmas
Spencer Leslie, Jingwei Xiao, Wei Zhang
We formulate a global conjecture for the automorphic period integral associated to the symmetric pairs defined by unitary groups over number fields, generalizing a theorem of Walds…
Symmetric varieties for endoscopic groups
Spencer Leslie
Given a quasi-split reductive group and a symmetric variety , we introduce a notion of endoscopic varieties for , and establish the foundational properties of these v…
Modular forms of half-integral weight on exceptional groups
Spencer Leslie, Aaron Pollack
We define a notion of modular forms of half-integral weight on the quaternionic exceptional groups. We prove that they have a well-behaved notion of Fourier coefficients, which are…
Harmonic analysis on certain spherical varieties
Jayce R. Getz, Chun-Hsien Hsu, Spencer Leslie
Braverman and Kazhdan proposed a conjecture, later refined by Ngô and broadened to the framework of spherical varieties by Sakellaridis, that asserts that affine spherical varietie…
On the stabilization of relative trace formulae: descent and the fundamental lemma
Spencer Leslie
Motivated by the study of periods of automorphic forms and relative trace formulae, we develop the theory of descent necessary to study orbital integrals arising in the fundamental…