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Softcover ISBN:  9780821869000 
Product Code:  CONM/566 
List Price:  $130.00 
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AMS Member Price:  $104.00 
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Product Code:  CONM/566.E 
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Softcover ISBN:  9780821869000 
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Book DetailsContemporary MathematicsVolume: 566; 2012; 344 ppMSC: Primary 11; 14; 22; 32; 57
The volume contains the proceedings of the “Second International Workshop on Zeta Functions in Algebra and Geometry” held May 3–7, 2010 at the Universitat de les Illes Balears, Palma de Mallorca, Spain.
Zeta functions can be naturally attached to several mathematical objects, including fields, groups, and algebras. The conference focused on the following topics: arithmetic and geometric aspects of local, topological, and motivic zeta functions, Poincaré series of valuations, zeta functions of groups, rings, and representations, prehomogeneous vector spaces and their zeta functions, and height zeta functions.
This book is published in cooperation with Real Sociedád Matematica Española.ReadershipGraduate students and research mathematicians interested in zeta functions in number theory, geometry, and algebra.

Table of Contents

$L$functions of varieties over finite fields and Artin $L$functions

Pilar Bayer — Computational aspects of Artin $L$functions

Anne FrühbisKrüger and Shabnam Kadir — Zeta functions for families of Calabi–Yau $n$folds with singularities

Antonio RojasLeón — Estimates for exponential sums with a large automorphism group

Height zeta functions and arithmetic

Driss Essouabri — Height zeta functions on generalized projective toric varieties

Yu. I. Manin — Combinatorial cubic surfaces and reconstruction theorems

Sho Tanimoto and Yuri Tschinkel — Height zeta functions of equivariant compactifications of semidirect products of algebraic groups

Motivic zeta functions, Poincaré series, complex monodromy and knots

Nero Budur — Singularity invariants related to Milnor fibers: survey

Carlos Galindo and Francisco Monserrat — Finite families of plane valuations: value semigroup, graded algebra and Poincaré series

E. Gorsky — $q,t$Catalan numbers and knot homology

Lars Halvard Halle and Johannes Nicaise — Motivic zeta functions for degenerations of abelian varieties and CalabiYau varieties

András Némethi and Fernando Román — The lattice cohomology of $S^3_{d}(K)$

Zeta functions for groups and representations

Nir Avni, Benjamin Klopsch, Uri Onn and Christopher Voll — Representation zeta functions of some compact $p$adic analytic groups

Aner Shalev — Applications of some zeta functions in group theory


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The volume contains the proceedings of the “Second International Workshop on Zeta Functions in Algebra and Geometry” held May 3–7, 2010 at the Universitat de les Illes Balears, Palma de Mallorca, Spain.
Zeta functions can be naturally attached to several mathematical objects, including fields, groups, and algebras. The conference focused on the following topics: arithmetic and geometric aspects of local, topological, and motivic zeta functions, Poincaré series of valuations, zeta functions of groups, rings, and representations, prehomogeneous vector spaces and their zeta functions, and height zeta functions.
Graduate students and research mathematicians interested in zeta functions in number theory, geometry, and algebra.

$L$functions of varieties over finite fields and Artin $L$functions

Pilar Bayer — Computational aspects of Artin $L$functions

Anne FrühbisKrüger and Shabnam Kadir — Zeta functions for families of Calabi–Yau $n$folds with singularities

Antonio RojasLeón — Estimates for exponential sums with a large automorphism group

Height zeta functions and arithmetic

Driss Essouabri — Height zeta functions on generalized projective toric varieties

Yu. I. Manin — Combinatorial cubic surfaces and reconstruction theorems

Sho Tanimoto and Yuri Tschinkel — Height zeta functions of equivariant compactifications of semidirect products of algebraic groups

Motivic zeta functions, Poincaré series, complex monodromy and knots

Nero Budur — Singularity invariants related to Milnor fibers: survey

Carlos Galindo and Francisco Monserrat — Finite families of plane valuations: value semigroup, graded algebra and Poincaré series

E. Gorsky — $q,t$Catalan numbers and knot homology

Lars Halvard Halle and Johannes Nicaise — Motivic zeta functions for degenerations of abelian varieties and CalabiYau varieties

András Némethi and Fernando Román — The lattice cohomology of $S^3_{d}(K)$

Zeta functions for groups and representations

Nir Avni, Benjamin Klopsch, Uri Onn and Christopher Voll — Representation zeta functions of some compact $p$adic analytic groups

Aner Shalev — Applications of some zeta functions in group theory