Some analogies between number theory and dynamical systems on foliated spaces

zbMath0899.14001MaRDI QIDQ1129843

Christopher Deninger

Publication date: 24 August 1998

Published in: Documenta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/229449

zbMATH Keywords

dynamical systems\(L\)-functionszeta functionsfoliationsleafwise cohomology\(L\)-functions of motives

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Foliations in differential topology; geometric theory (57R30) (Co)homology theory in algebraic geometry (14F99) Generalizations (algebraic spaces, stacks) (14A20)

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