On geometric transfer in real twisted endoscopy

D. Shelstad

Type: Article

Publication Date: 2012-10-12

Citations: 24

DOI: https://doi.org/10.4007/annals.2012.176.3.9

Abstract

We prove the existence of a transfer of orbital integrals in endoscopy for real reductive groups when there is twisting by an automorphism defined over the reals and by a character on the real points of the group.Our proof contains a relatively short self-contained argument for the already known case of standard endoscopy.

Locations

Annals of Mathematics - View - PDF

Similar Works

Action	Title	Year	Authors
+	TWISTED ENDOSCOPY FOR REAL GROUPS	2003	David Renard
+	TEMPERED SPECTRAL TRANSFER IN THE TWISTED ENDOSCOPY OF REAL GROUPS	2014	Paul Mezo
+	Endoscopy for real reductive groups	2011	David Renard
+	Character identities in the twisted endoscopy of real reductive groups	2012	Paul Mezo
+ PDF Chat	Orbital integrals and a family of groups attached to a real reductive group	1979	D. Shelstad
+ PDF Chat	On elliptic factors in real endoscopic transfer I	2015	D. Shelstad
+ PDF Chat	Real representations of groups with a single involution	1977	I. M. Isaacs
+	Transfert d'intégrales orbitales pour le groupe métaplectique	2009	Wen-Wei Li
+	The method of adjoint orbits for real reductive groups	2000	David A. Vogan
+	On elliptic factors in real endoscopic transfer I	2014	D. Shelstad
+ PDF Chat	Transfert d’intégrales orbitales pour le groupe métaplectique	2010	Wen-Wei Li
+	Deconstruction of Real-Linear Surjective Isometries Over Complex Vector Spaces	2017	John Michael Sawatzky
+	Lifting of Characters for Nonlinear Simply Laced Groups	2008	Jeffrey Adams Rebecca A. Herb
+	Twisted Real quasi-elliptic cohomology	2022	Zhen Huan Matthew B. Young
+ PDF Chat	On endoscopic transfer of Deligne–Lusztig functions	2012	David Kazhdan Yakov Varshavsky
+ PDF Chat	Donn\'ees endoscopiques d'un groupe r\'eductif connexe: applications d'une construction de Langlands	2020	Bertrand Lemaire Jean-Loup Waldspurger
+	Real Isometry Groups	2018	Norman W. Johnson
+	Tempered endoscopy for real groups III: Inversion of transfer and 𝐿-packet structure	2008	D. Shelstad
+ PDF Chat	COCENTERS OF -ADIC GROUPS, I: NEWTON DECOMPOSITION	2018	Xuhua He
+ PDF Chat	On representations of real Jacobi groups	2011	Binyong Sun

Works That Cite This (23)

Action	Title	Year	Authors
+ PDF Chat	Formes automorphes et voisins de Kneser des réseaux de Niemeier	2014	Gaëtan Chenevier Jean Lannes
+	Arthur's multiplicity formula for GSp$_4$ and restriction to Sp$_4$	2018	Toby Gee Olivier Taïbi
+	Twisted endoscopy from a sheaf-theoretic perspective	2016	Aaron Christie Paul Mezo
+ PDF Chat	L-packets of quasisplit GSp(2n) and GO(2n)	2017	Bin Xu
+	TEMPERED SPECTRAL TRANSFER IN THE TWISTED ENDOSCOPY OF REAL GROUPS	2014	Paul Mezo
+	Character identities in the twisted endoscopy of real reductive groups	2012	Paul Mezo
+ PDF Chat	Equivalent Definitions of Arthur Packets for Real Classical Groups	2024	Jeffrey Adams Nicolás Arancibia Robert Paul Mezo
+ PDF Chat	Classifying automorphic representations	2012	James Arthur
+ PDF Chat	Endoscopic Classification of representations of Quasi-Split Unitary Groups	2014	Chung Pang Mok
+	The Hodge conjecture and arithmetic quotients of complex balls	2013	Nicolas Bergeron John J. Millson Colette Mœglin

Works Cited by This (30)

Action	Title	Year	Authors
+	Harmonic Analysis on Semi-Simple Lie Groups II	1972	Garth Warner
+	Real reductive groups II	1992	Nolan R. Wallach
+	Base change and a matching theorem for real groups	1981	D. Shelstad
+	Stable trace formula: Elliptic singular terms	1986	Robert Kottwitz
+	Harmonic analysis on reductive Lie groups	1981	D. P. Zhelobenko
+	Harmonic analysis on real reductive groups I the theory of the constant term	1975	Harish-chandra Harish-Chandra
+	TWISTED ENDOSCOPY FOR REAL GROUPS	2003	David Renard
+ PDF Chat	Harmonic Analysis on Real Reductive Groups	1977	V. S. Varadarajan
+	L’endoscopie tordue n’est pas si tordue	2008	J. L. Waldspurger
+	On the definition of transfer factors	1987	R. P. Langlands D. Shelstad