m
• E

F Nous contacter

0

# Documents  Veys, Wim | enregistrements trouvés : 2

O

P Q

Déposez votre fichier ici pour le déplacer vers cet enregistrement.

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

Post-edited

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 ...

Déposez votre fichier ici pour le déplacer vers cet enregistrement.

## 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

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

Contemporary mathematics , 0566

Localisation : Collection 1er étage

fonction zeta # géométrie

#### Filtrer

##### Langue

Titres de périodiques et e-books électroniques (Depuis le CIRM)

Ressources Electroniques

Books & Print journals

Recherche avancée

0
Z