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# Documents  Veys, Wim | enregistrements trouvés : 2

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## Zeta functions and monodromy Veys, Wim | CIRM H

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Research talks

The $p$-adic Igusa zeta function, topological and motivic zeta function are (related) invariants of a polynomial $f$, reflecting the singularities of the hypersurface $f = 0$. The first one has a number theoretical flavor and is related to counting numbers of solutions of $f = 0$ over finite rings; the other two are more geometric in nature. The monodromy conjecture relates in a mysterious way these invariants to another singularity invariant of $f$, its local monodromy. We will discuss in this survey talk rationality issues for these zeta functions and the origins of the conjecture. The $p$-adic Igusa zeta function, topological and motivic zeta function are (related) invariants of a polynomial $f$, reflecting the singularities of the hypersurface $f = 0$. The first one has a number theoretical flavor and is related to counting numbers of solutions of $f = 0$ over finite rings; the other two are more geometric in nature. The monodromy conjecture relates in a mysterious way these invariants to another singularity invariant of ...

## Zeta functions in algebra and geometry.Second international workshopPalma de Mallorca # may 3-7, 2010 Campillo, Antonio ; Cardona, Gabriel ; Melle Hernandez, Alejandro ; Veys, Wim ; Zuniga-Galindo, Wilson A. | American Mathematical Society;Real Sociedad Matematica Espanola 2012

Congrès

V

- xvi; 344 p.
ISBN 978-0-8218-6900-0

Contemporary mathematics , 0566

Localisation : Collection RdC

fonction zeta # géométrie

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