9 citations · 21 across the 12 of their papers we have counts for
13 papers
Relative Hitchin fibrations and endoscopy for Unitary Friedberg--Jacquet varieties
Thomas Hameister, Spencer Leslie
We prove a relative fundamental lemma for the unitary symmetric variety , proving a conjecture of Leslie, Xiao, and Zhang. Our proof reduces to the Lie a…
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…
The endoscopic fundamental lemma for unitary Friedberg-Jacquet periods
Spencer Leslie
We prove the endoscopic fundamental lemma for the Lie algebra of the symmetric space , where denotes a unitary group of rank . This is the first ma…
Endoscopy for unitary symmetric spaces
Spencer Leslie
Motivated by global applications, we propose a theory of relative endoscopic data and transfer factors for the symmetric pair over a local field. We then…
An analogue of the Grothendieck-Springer resolution for symmetric spaces
Spencer Leslie
Motivated by questions in the study of relative trace formulae, we construct a generalization of Grothendieck's simultaneous resolution over the regular locus of certain symmetric…
Resonant Mirković-Vilonen polytopes and formulas for highest-weight characters
Spencer Leslie
Formulas for the product of an irreducible character of a complex Lie group and a deformation of the Weyl denominator as a sum over the crystal go back to…
Parity Sheaves and Smith Theory
Spencer Leslie, Gus Lonergan
Let be a prime number and let be a complex algebraic variety with an action of . We develop the theory of parity complexes in a certain -periodic…
A Generalized Theta lifting, CAP representations, and Arthur parameters
Spencer Leslie
We study a new lifting of automorphic representations using the theta representation on the -fold cover of the symplectic group, . T…