9 citations · 21 across the 12 of their papers we have counts for
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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…