On donne une nouvelle méthode de calcul d'intégrales orbitales utilisant le Laplacien hypoelliptique. On obtient un formalisme unifiant le théorème de l'indice d'Atiyah–Singer et la formule des traces.
We give a new approach to orbital integrals based on the hypoelliptic Laplacian. The formalism unifies the Atiyah–Singer index theorem and the trace formula.
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@article{CRMATH_2009__347_19-20_1189_0,
author = {Bismut, Jean-Michel},
title = {Laplacien hypoelliptique et int\'egrales orbitales},
journal = {Comptes Rendus. Math\'ematique},
pages = {1189--1195},
publisher = {Elsevier},
volume = {347},
number = {19-20},
year = {2009},
doi = {10.1016/j.crma.2009.09.014},
language = {fr},
url = {http://www.numdam.org/articles/10.1016/j.crma.2009.09.014/}
}
TY - JOUR AU - Bismut, Jean-Michel TI - Laplacien hypoelliptique et intégrales orbitales JO - Comptes Rendus. Mathématique PY - 2009 SP - 1189 EP - 1195 VL - 347 IS - 19-20 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2009.09.014/ DO - 10.1016/j.crma.2009.09.014 LA - fr ID - CRMATH_2009__347_19-20_1189_0 ER -
%0 Journal Article %A Bismut, Jean-Michel %T Laplacien hypoelliptique et intégrales orbitales %J Comptes Rendus. Mathématique %D 2009 %P 1189-1195 %V 347 %N 19-20 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2009.09.014/ %R 10.1016/j.crma.2009.09.014 %G fr %F CRMATH_2009__347_19-20_1189_0
Bismut, Jean-Michel. Laplacien hypoelliptique et intégrales orbitales. Comptes Rendus. Mathématique, Tome 347 (2009) no. 19-20, pp. 1189-1195. doi : 10.1016/j.crma.2009.09.014. http://www.numdam.org/articles/10.1016/j.crma.2009.09.014/
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