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On the cohomology of certain non-compact...

Morel, Sophie...

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On the cohomology of certain non-compact Shimura varieties (with an appendix by Robert Kottwitz) by Morel, Sophie ( Author )

Content Provider	Lemonjar Open Access
Publisher	methuen
Publication Date	31-07-2023
Summary	The goal of this paper is to calculate the trace of the composition of a Hecke correspondence and a (high enough) power of the Frobenius at a good place on the intersection cohomology of the Satake-Baily-Borel compactification of certain Shimura varieties, to stabilize the result for Shimura varieties associated to unitary groups over $\mathbb{Q}$ and to give applications of this calculations using base change from these unitary groups to $GL_n$. ----- Le but de ce texte est de calculer la trace d'une correspondance de Hecke composee avec une puissance (assez grande) du Frobenius en une bonne place sur la cohomologie d'intersection de la compactification de Satake-Baily-Borel de certaines varietes de Shimura, de stabiliser le resultat obtenu pour les varietes de Shimura associees aux groupes unitaires sur $\mathbb{Q}$, et de donner des applications de ces calculs en utilisant le changement de base de ces groupes unitaires a $GL_n$.
ISBN	-
Item Type	Article
File Type	pdf
File Size	37.08 KB
Language	German
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/0802.4451

Citation

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AMA 11th EditionReferences

Morel, Sophie. On the cohomology of certain non-compact Shimura varieties (with an appendix by Robert Kottwitz). methuen. July 31, 2023. Accessed September 17, 2024. https://online.provdatabase.com/cite/3035

APA 7th EditionReferences

Morel, Sophie. (2023). On the cohomology of certain non-compact Shimura varieties (with an appendix by Robert Kottwitz). methuen. https://online.provdatabase.com/cite/3035

Chicago 17th EditionReferences

Morel, Sophie. On the cohomology of certain non-compact Shimura varieties (with an appendix by Robert Kottwitz). methuen. 2023. https://online.provdatabase.com/cite/3035

HarvardReferences

Morel, Sophie. (2023). On the cohomology of certain non-compact Shimura varieties (with an appendix by Robert Kottwitz). [Online]. methuen. Available from: https://online.provdatabase.com/cite/3035. (Accessed 17 September 2024).

Harvard AustraliaReferences

Morel, Sophie, 2023, On the cohomology of certain non-compact Shimura varieties (with an appendix by Robert Kottwitz), methuen, viewed 17 September 2024, <https://online.provdatabase.com/cite/3035>

MLA 9th EditionWorks Cited

Morel, Sophie. On the cohomology of certain non-compact Shimura varieties (with an appendix by Robert Kottwitz). methuen, 2023. PROV Database, https://online.provdatabase.com/cite/3035.

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