Geodesic
The Spectral Side of Stable Local Trace Formula
Documenta mathematica, Tome 24 (2019), pp. 303-329
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Let G be a connected quasi-split reductive group over R, and more generally, a quasi-split K-group over R. Arthur had obtained the formal formula for the spectral side of the stable local trace formula, by using formal substitute of Langlands parameters. In this paper, we construct the spectral side of the stable local trace formula and endoscopic local trace formula directly for quasi-split K-groups over R, by incorporating the works of Shelstad. In particular we give the explicit expression for the spectral side of the stable local trace formula, in terms of Langlands parameters.
DOI : 10.4171/dm/682
Classification : 22E45, 22E46
Mots-clés : endoscopy, stabilization, local trace formula, transfer factors 
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     author = {Chung Pang Mok and Zhifeng Peng},
     title = {The {Spectral} {Side} of {Stable} {Local} {Trace} {Formula}},
     journal = {Documenta mathematica},
     pages = {303--329},
     year = {2019},
     volume = {24},
     doi = {10.4171/dm/682},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/682/}
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Chung Pang Mok; Zhifeng Peng. The Spectral Side of Stable Local Trace Formula. Documenta mathematica, Tome 24 (2019), pp. 303-329. doi: 10.4171/dm/682

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