A stable trace formula for Igusa varieties

DOI10.1017/S1474748010000046zbMath1206.22011OpenAlexW2060162944MaRDI QIDQ3160688

Sug Woo Shin

Publication date: 8 October 2010

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s1474748010000046

zbMATH Keywords

Shimura varietiestrace formulaorbital integralsendoscopyIgusa varieties

Mathematics Subject Classification ID

Complex multiplication and moduli of abelian varieties (11G15) Arithmetic aspects of modular and Shimura varieties (11G18) Spectral theory; trace formulas (e.g., that of Selberg) (11F72) Representations of Lie and linear algebraic groups over global fields and adèle rings (22E55) Langlands-Weil conjectures, nonabelian class field theory (11R39)

Related Items

A trace formula approach to control theorems for overconvergent automorphic forms ⋮ On the generic part of the cohomology of compact unitary Shimura varieties ⋮ Weakly unramified representations, finite morphisms, and Knapp-Stein \(R\)-groups ⋮ \(H^0\) of Igusa varieties via automorphic forms ⋮ The cohomology of Shimura varieties with torsion coefficients ⋮ Points on Shimura varieties modulo primes ⋮ An approach to the characterization of the local Langlands correspondence ⋮ The Kottwitz conjecture for unitary PEL-type Rapoport-Zink spaces ⋮ Local-global compatibility and the action of monodromy on nearby cycles ⋮ Counting points on Igusa varieties ⋮ Optimal control and stability analysis of malaria disease: a model based approach ⋮ Sato-Tate equidistribution for families of automorphic representations through the stable trace formula ⋮ On the Beilinson-Bloch-Kato conjecture for Rankin-Selberg motives

Cites Work

• Unnamed Item
• Unnamed Item
• The \(L^ 2\)-Lefschetz numbers of Hecke operators
• Shimura varieties and twisted orbital integrals
• On the cohomology of certain PEL-type Shimura varieties
• On the twisted weighted fundamental lemma
• Counting points on Igusa varieties
• Stable trace formula: Cuspidal tempered terms
• Stable trace formula: Elliptic singular terms
• On the definition of transfer factors
• Tamagawa numbers
• On the \(\lambda\)-adic representations associated to some simple Shimura varieties
• Characters and Jacquet modules
• Discrete series characters and the Lefschetz formula for Hecke operators
• Rational conjugacy classes in reductive groups
• Stable Conjugacy: Definitions and Lemmas
• On the Fundamental Lemma for Standard Endoscopy: Reduction to Unit Elements
• JACQUET–LANGLANDS ET UNITARISABILITÉ
• ENDOSCOPIE ET CHANGEMENT DE CARACTÉRISTIQUE

This page was built for publication: A stable trace formula for Igusa varieties