Laplacien hypoelliptique et intégrales orbitales

Jean-Michel Bismut

doi:10.1016/j.crma.2009.09.014

Géométrie différentielle

Laplacien hypoelliptique et intégrales orbitales
[Hypoelliptic Laplacian and orbital integrals]

Presented by: Jean-Michel Bismut

Jean-Michel Bismut ¹

¹ Département de mathématique, université Paris-Sud, bâtiment 425, 91405 Orsay cedex, France

Comptes Rendus. Mathématique, Volume 347 (2009) no. 19-20, pp. 1189-1195.

Abstract
Résumé

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.

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.

Received: 2009-07-23
Accepted: 2009-09-02
Published online: 2009-09-23

DOI: 10.1016/j.crma.2009.09.014

Author's affiliations:

Jean-Michel Bismut ¹

¹ Département de mathématique, université Paris-Sud, bâtiment 425, 91405 Orsay cedex, France

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     author = {Jean-Michel Bismut},
     title = {Laplacien hypoelliptique et int\'egrales orbitales},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {1189--1195},
     publisher = {Elsevier},
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     number = {19-20},
     year = {2009},
     doi = {10.1016/j.crma.2009.09.014},
     language = {fr},
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Jean-Michel Bismut. Laplacien hypoelliptique et intégrales orbitales. Comptes Rendus. Mathématique, Volume 347 (2009) no. 19-20, pp. 1189-1195. doi : 10.1016/j.crma.2009.09.014. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2009.09.014/

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