On the analogy between Arithmetic Geometry and foliated spaces

Christopher Deninger has developed an infinite dimensional cohomological formalism which allows to prove the expected properties of the arithmetical Zeta functions (including the Riemann Zeta function). These cohomologies are (in general) not yet constructed. Deninger has argued that these cohomolog...

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Autor principal:	Eric Leichtnam
Formato:	article
Lenguaje:	EN FR IT
Publicado:	Sapienza Università Editrice 2008
Materias:	foliations dynamical lefschetz trace Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/ff62bd07605f424ab3d7937c3fba53dd
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id	oai:doaj.org-article:ff62bd07605f424ab3d7937c3fba53dd
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spelling	oai:doaj.org-article:ff62bd07605f424ab3d7937c3fba53dd2021-11-29T17:12:56ZOn the analogy between Arithmetic Geometry and foliated spaces1120-71832532-3350https://doaj.org/article/ff62bd07605f424ab3d7937c3fba53dd2008-01-01T00:00:00Zhttps://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/2008(2)/163-188.pdfhttps://doaj.org/toc/1120-7183https://doaj.org/toc/2532-3350Christopher Deninger has developed an infinite dimensional cohomological formalism which allows to prove the expected properties of the arithmetical Zeta functions (including the Riemann Zeta function). These cohomologies are (in general) not yet constructed. Deninger has argued that these cohomologies might be constructed as leafwise cohomologies of suitable foliated spaces. We shall review some recent results which support this hope.Eric LeichtnamSapienza Università EditricearticlefoliationsdynamicallefschetztraceMathematicsQA1-939ENFRITRendiconti di Matematica e delle Sue Applicazioni, Vol 28, Iss 2, Pp 163-188 (2008)
institution	DOAJ
collection	DOAJ
language	EN FR IT
topic	foliations dynamical lefschetz trace Mathematics QA1-939
spellingShingle	foliations dynamical lefschetz trace Mathematics QA1-939 Eric Leichtnam On the analogy between Arithmetic Geometry and foliated spaces
description	Christopher Deninger has developed an infinite dimensional cohomological formalism which allows to prove the expected properties of the arithmetical Zeta functions (including the Riemann Zeta function). These cohomologies are (in general) not yet constructed. Deninger has argued that these cohomologies might be constructed as leafwise cohomologies of suitable foliated spaces. We shall review some recent results which support this hope.
format	article
author	Eric Leichtnam
author_facet	Eric Leichtnam
author_sort	Eric Leichtnam
title	On the analogy between Arithmetic Geometry and foliated spaces
title_short	On the analogy between Arithmetic Geometry and foliated spaces
title_full	On the analogy between Arithmetic Geometry and foliated spaces
title_fullStr	On the analogy between Arithmetic Geometry and foliated spaces
title_full_unstemmed	On the analogy between Arithmetic Geometry and foliated spaces
title_sort	on the analogy between arithmetic geometry and foliated spaces
publisher	Sapienza Università Editrice
publishDate	2008
url	https://doaj.org/article/ff62bd07605f424ab3d7937c3fba53dd
work_keys_str_mv	AT ericleichtnam ontheanalogybetweenarithmeticgeometryandfoliatedspaces
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On the analogy between Arithmetic Geometry and foliated spaces

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