The twisted trace formula

1982 ◽  
pp. 100-128
Author(s):  
Yuval Z. Flicker
Keyword(s):  
Trace Formula ◽  
Twisted Trace Formula

On Connected Components of Shimura Varieties

2002 ◽  
Vol 54 (2) ◽  
pp. 352-395 ◽  
Author(s):  
Thomas J. Haines
Keyword(s):  
Trace Formula ◽  
High Power ◽  
Weighting Factor ◽  
Connected Components ◽  
Shimura Varieties ◽  
Orbital Integrals ◽  
Crucial Step ◽  
Hecke Operator ◽  
Twisted Trace Formula ◽  
Twisted Orbital Integrals

AbstractWe study the cohomology of connected components of Shimura varieties coming from the group GSp2g, by an approach modeled on the stabilization of the twisted trace formula, due to Kottwitz and Shelstad. More precisely, for each character ϖ on the group of connected components of we define an operator L(ω) on the cohomology groups with compact supports Hic(, ), and then we prove that the virtual trace of the composition of L(ω) with a Hecke operator f away from p and a sufficiently high power of a geometric Frobenius , can be expressed as a sum of ω-weighted (twisted) orbital integrals (where ω-weighted means that the orbital integrals and twisted orbital integrals occuring here each have a weighting factor coming from the character ϖ). As the crucial step, we define and study a new invariant α1(γ0; γ, δ) which is a refinement of the invariant α(γ0; γ, δ) defined by Kottwitz. This is done by using a theorem of Reimann and Zink.

scholarly journals On the symmetric square: Twisted trace formula

1991 ◽  
Vol 98 (1) ◽  
pp. 194-210
Author(s):  
Yuval Z Flicker
Keyword(s):  
Trace Formula ◽  
Symmetric Square ◽  
Twisted Trace Formula

scholarly journals Absolute convergence of the twisted trace formula

2019 ◽  
Vol 292 (1-2) ◽  
pp. 529-567
Author(s):  
Abhishek Parab
Keyword(s):  
Trace Formula ◽  
Absolute Convergence ◽  
Twisted Trace Formula

scholarly journals Twisted trace formula of the Brandt matrix

1977 ◽  
Vol 53 (3) ◽  
pp. 98-102 ◽  
Author(s):  
Ki-ichiro Hashimoto
Keyword(s):  
Trace Formula ◽  
Twisted Trace Formula

scholarly journals Twisted Trace Formula for Hecke Correspondences

2004 ◽  
Author(s):  
Salahoddin Shokranian
Keyword(s):  
Trace Formula ◽  
Hecke Correspondences ◽  
Twisted Trace Formula

scholarly journals Hypoelliptic Laplacian and twisted trace formula

2019 ◽  
Vol 357 (1) ◽  
pp. 74-83
Author(s):  
Bingxiao Liu
Keyword(s):  
Trace Formula ◽  
Twisted Trace Formula

scholarly journals STABLE TWISTED TRACE FORMULA: ELLIPTIC TERMS

2004 ◽  
Vol 3 (4) ◽  
pp. 473-530 ◽  
Author(s):  
J.-P. Labesse
Keyword(s):  
Trace Formula ◽  
Subject Classification ◽  
Primary 11F72 ◽  
Twisted Trace Formula

This paper deals with the stabilization of the contribution of elliptic elements to the geometric side of the general twisted trace formula. We extend the results of Langlands, Kottwitz and Shelstad to all elliptic elements for the general twisted trace formula.AMS 2000 Mathematics subject classification: Primary 11F72; 11R39; 11R34

The Helton-Howe trace formula for submodules

2021 ◽  
pp. 108997
Author(s):  
Quanlei Fang ◽  
Yi Wang ◽  
Jingbo Xia
Keyword(s):  
Trace Formula
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