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Zeta Functions in Algebra and Geometry
 
Edited by: Antonio Campillo Universidad de Valladolid, Valladolid, Spain
Gabriel Cardona Universitat de les Illes Balears, Palma de Mallorca, Spain
Alejandro Melle-Hernández Universidad Complutense de Madrid, Madrid, Spain
Wim Veys University of Leuven, Leuven, Belgium
Wilson A. Zúñiga-Galindo Cinvestav I.P.N., Mexico City, Mexico
Zeta Functions in Algebra and Geometry
Softcover ISBN:  978-0-8218-6900-0
Product Code:  CONM/566
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-0-8218-8776-9
Product Code:  CONM/566.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-0-8218-6900-0
eBook: ISBN:  978-0-8218-8776-9
Product Code:  CONM/566.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
Zeta Functions in Algebra and Geometry
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Zeta Functions in Algebra and Geometry
Edited by: Antonio Campillo Universidad de Valladolid, Valladolid, Spain
Gabriel Cardona Universitat de les Illes Balears, Palma de Mallorca, Spain
Alejandro Melle-Hernández Universidad Complutense de Madrid, Madrid, Spain
Wim Veys University of Leuven, Leuven, Belgium
Wilson A. Zúñiga-Galindo Cinvestav I.P.N., Mexico City, Mexico
Softcover ISBN:  978-0-8218-6900-0
Product Code:  CONM/566
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-0-8218-8776-9
Product Code:  CONM/566.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-0-8218-6900-0
eBook ISBN:  978-0-8218-8776-9
Product Code:  CONM/566.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 5662012; 344 pp
    MSC: 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.
    Readership

    Graduate 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 Frühbis-Krüger and Shabnam Kadir — Zeta functions for families of Calabi–Yau $n$-folds with singularities
    • Antonio Rojas-León — 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 semi-direct 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 Calabi-Yau 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
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 5662012; 344 pp
MSC: 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.
Readership

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 Frühbis-Krüger and Shabnam Kadir — Zeta functions for families of Calabi–Yau $n$-folds with singularities
  • Antonio Rojas-León — 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 semi-direct 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 Calabi-Yau 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
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.