On Stability and Endoscopic Transfer of Unipotent Orbital Integrals on $p$-adic Symplectic Groups (eBook)

Magdy A Assem (Autor)

eBook Download: PDF

101 Seiten
American Mathematical Society (Verlag)
978-1-4704-0224-2 (ISBN)

Infos

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.

Produkt-Details

• Themenwelt: Mathematik / Informatik ► Mathematik ► Algebra
• Themenwelt: Mathematik / Informatik ► Mathematik ► Analysis
• Themenwelt: Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie
• ISBN-10: 1-4704-0224-6 / 1470402246
• ISBN-13: 978-1-4704-0224-2 / 9781470402242