A RELATIVE TRACE FORMULA BETWEEN THE GENERAL LINEAR AND THE METAPLECTIC GROUP II: DESCENT

2021 ◽  
Vol 50 (2) ◽  
pp. 113-136
Author(s):  
Cesar Valverde
Keyword(s):  
Trace Formula ◽  
General Linear ◽  
Metaplectic Group ◽  
Relative Trace Formula ◽  
Group Ii

scholarly journals A relative trace formula proof of the Petersson trace formula

2006 ◽  
Vol 122 (3) ◽  
pp. 297-313 ◽  
Author(s):  
Andrew Knightly ◽  
Charles Li
Keyword(s):  
Trace Formula ◽  
Relative Trace Formula

scholarly journals Geometric side of a local relative trace formula

2018 ◽  
Vol 371 (3) ◽  
pp. 1815-1857
Author(s):  
P. Delorme ◽  
P. Harinck ◽  
S. Souaifi
Keyword(s):  
Trace Formula ◽  
Relative Trace Formula

scholarly journals A twisted topological trace formula for Hecke operators and liftings from symplectic to general linear groups

2011 ◽  
Vol 148 (1) ◽  
pp. 65-120 ◽  
Author(s):  
Uwe Weselmann
Keyword(s):  
Trace Formula ◽  
Hecke Operators ◽  
General Linear ◽  
Linear Groups ◽  
Arithmetic Subgroup ◽  
General Linear Groups ◽  
Locally Symmetric Space ◽  
Outer Automorphisms ◽  
Modular Groups ◽  
Endoscopic Group

AbstractFor the locally symmetric space X attached to an arithmetic subgroup of an algebraic group G of ℚ-rank r, we construct a compact manifold $\tilde X$ by gluing together 2r copies of the Borel–Serre compactification of X. We apply the classical Lefschetz fixed point formula to $\tilde X$ and get formulas for the traces of Hecke operators ℋ acting on the cohomology of X. We allow twistings of ℋ by outer automorphisms η of G. We stabilize this topological trace formula and compare it with the corresponding formula for an endoscopic group of the pair (G,η) . As an application, we deduce a weak lifting theorem for the lifting of automorphic representations from Siegel modular groups to general linear groups.

scholarly journals A general simple relative trace formula

2015 ◽  
Vol 277 (1) ◽  
pp. 99-118 ◽  
Author(s):  
Jayce R. Getz ◽  
Heekyoung Hahn
Keyword(s):  
Trace Formula ◽  
Relative Trace Formula
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