Isolation of cuspidal spectrum, with application to the Gan–Gross–Prasad conjecture
Raphaël Beuzart-Plessis, Yifeng Liu, Wei Zhang, Xinwen Zhu
Abstract
We introduce a new technique for isolating components on the spectral side of the trace formula. By applying it to the Jacquet--Rallis relative trace formula, we complete the proof of the global Gan--Gross--Prasad conjecture and its refinement Ichino--Ikeda conjecture for $\mathrm{U}(n) \times \mathrm{U}(n+1)$ in the stablecase.
Topics & Concepts
ConjecturePrasadTRACE (psycholinguistics)MathematicsSpectrum (functional analysis)Pure mathematicsPhysicsQuantum mechanicsPhilosophyLinguisticsTheologyAdvanced Algebra and GeometryAlgebraic structures and combinatorial modelsAdvanced Operator Algebra Research