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Matching of orbital integrals on GL(4) and GSp(2)

Author: Yuval Z Flicker
Publisher: Providence, R.I. : American Mathematical Society, 1999.
Series: Memoirs of the American Mathematical Society, no. 655.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

The trace formula is the most powerful tool available to establish liftings of automorphic forms, as predicted by Langlands principle of functionality. This volume concerns a proof of the fundamental  Read more...

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Document Type: Book
All Authors / Contributors: Yuval Z Flicker
ISBN: 0821809598 9780821809594
OCLC Number: 39962360
Notes: "January 1999, volume 137, number 655 (fourth of 6 numbers)."
Description: viii, 112 pages ; 26 cm.
Contents: Part I. Preparations: Statement of Theorem Stable conjugacy Explicit representatives Stable $\theta$-conjugacy Useful facts Endoscopic groups Instability Kazhdan's decomposition Decompositions for $GL(2)$ Decomposition for $Sp(2)$ Part II. Main comparison: Strategy Twisted orbital integrals of type (I) Orbital integrals of type (I) Comparison in stable case (I), $E\slash F$ unramified Comparison in stable case (I), $E\slash F$ ramified Endoscopy for $H=GSp(2)$ type (I); Unstable twisted case. Twisted endoscopic group of type I.F.2; Twisted endoscopic group of type I.F.3, $E\slash F$ unramified Twisted orbital integrals of type (II) Orbital integrals of type (II) Comparison in case (II), $E\slash E_3$ ramified $(e=2)$; Unstable twisted case. Twisted endoscopic group of type I.F.2 Comparison in case (II), $E\slash E_3$ unramified $(e=1)$; Unstable twisted case. Twisted endoscopic group of type I.F.3 Endoscopy for $GSp(2)$, type (II) Comparison in case (III); Unstable twisted case. Twisted endoscopic group of type I.F.2 Comparison in case (IV); Unstable twisted case. Twisted endoscopic group of type I.F.2 Part III. Semi simple reduction: Review Case of torus of type (I) Case of torus of type (II) Case of torus of type (III) Case of torus of type (IV) References.
Series Title: Memoirs of the American Mathematical Society, no. 655.
Responsibility: Yuval Z. Flicker.

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