On Stability and Endoscopic Transfer of Unipotent Orbital Integrals on $p$-adic Symplectic Groups
Magdy Assem
Jan 1998 · American Mathematical Society: Memoirs of the American Mathematical Society Book 635 · American Mathematical Soc.
Ebook
101
Pages
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About this ebook
The theory of endoscopy is an intriguing part of the Langlands program, as it provides a way to attack the functoriality principle of Langlands for certain pairs of reductive groups $(G,H)$, in which $H$ is what is known as an endoscopic group for $G$. The starting point for this method is a close study of the relationship of orbital integrals on $G$ with stable orbital integrals on $H$. This volume investigates unipotent orbital integrals of spherical functions on $p$-adic symplectic groups. The results are then put into a conjectural framework, that predicts (for split classical groups) which linear combinations of unipotent orbital integrals are stable distributions.
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