3 papers
math.NT2025
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…
math.NT2025
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…
math.RT2025
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…