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Algebraic and Combinatorial Aspects of Tropical Geometry
 
Edited by: Erwan Brugallé Université Pierre et Marie Curie (Paris 6), Paris, France
Mariá Angélica Cueto Columbia University, New York, NY and Goethe-Universität Frankfurt, Frankfurt am Main, Germany
Alicia Dickenstein Universidad de Buenos Aires, Buenos Aires, Argentina
Eva-Maria Feichtner University of Bremen, Bremen, Germany
Ilia Itenberg Université Pierre et Marie Curie (Paris 6), Paris, France
Algebraic and Combinatorial Aspects of Tropical Geometry
eBook ISBN:  978-1-4704-0940-1
Product Code:  CONM/589.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Algebraic and Combinatorial Aspects of Tropical Geometry
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Algebraic and Combinatorial Aspects of Tropical Geometry
Edited by: Erwan Brugallé Université Pierre et Marie Curie (Paris 6), Paris, France
Mariá Angélica Cueto Columbia University, New York, NY and Goethe-Universität Frankfurt, Frankfurt am Main, Germany
Alicia Dickenstein Universidad de Buenos Aires, Buenos Aires, Argentina
Eva-Maria Feichtner University of Bremen, Bremen, Germany
Ilia Itenberg Université Pierre et Marie Curie (Paris 6), Paris, France
eBook ISBN:  978-1-4704-0940-1
Product Code:  CONM/589.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 5892013; 350 pp
    MSC: Primary 14; 51; 12; 32; Secondary 05;

    This volume contains the proceedings of the CIEM workshop on Tropical Geometry, held December 12–16, 2011, at the International Centre for Mathematical Meetings (CIEM), Castro Urdiales, Spain.

    Tropical geometry is a new and rapidly developing field of mathematics which has deep connections with various areas of mathematics and physics, such as algebraic geometry, symplectic geometry, complex analysis, dynamical systems, combinatorics, statistical physics, and string theory. As reflected by the content of this volume, this meeting was mainly focused on the geometric side of the tropical world with an emphasis on relations between tropical geometry, algebraic geometry, and combinatorics.

    This volume provides an overview of current trends concerning algebraic and combinatorial aspects of tropical geometry through eleven papers combining expository parts and development of modern techniques and tools.

    Readership

    Graduate students and research mathematicians interested in tropical geometry, algebraic geometry, and combinatorics.

  • Table of Contents
     
     
    • Articles
    • Benoît Bertrand and Frédéric Bihan — Intersection multiplicity numbers between tropical hypersurfaces
    • Benoît Bertrand, Lucía López de Medrano and Jean-Jacques Risler — On the total curvature of tropical hypersurfaces
    • Melody Chan, Margarida Melo and Filippo Viviani — Tropical Teichmüller and Siegel spaces
    • Melody Chan and Bernd Sturmfels — Elliptic Curves in Honeycomb Form
    • Jan Draisma and Bart Frenk — Tropically unirational varieties
    • Walter Gubler — A Guide to Tropicalizations
    • Zur Izhakian, Manfred Knebusch and Louis Rowen — Categorical Notions of Layered Tropical Algebra and Geometry
    • Eric Katz — Tropical realization spaces for polyhedral complexes
    • Patrick Popescu-Pampu and Dmitry Stepanov — Local tropicalization
    • Francisco Santos — Some acyclic systems of permutations are not realizable by triangulations of a product of simplices
    • Kristin M. Shaw — Tropical $(1,1)$-homology for floor decomposed surfaces
  • 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: 5892013; 350 pp
MSC: Primary 14; 51; 12; 32; Secondary 05;

This volume contains the proceedings of the CIEM workshop on Tropical Geometry, held December 12–16, 2011, at the International Centre for Mathematical Meetings (CIEM), Castro Urdiales, Spain.

Tropical geometry is a new and rapidly developing field of mathematics which has deep connections with various areas of mathematics and physics, such as algebraic geometry, symplectic geometry, complex analysis, dynamical systems, combinatorics, statistical physics, and string theory. As reflected by the content of this volume, this meeting was mainly focused on the geometric side of the tropical world with an emphasis on relations between tropical geometry, algebraic geometry, and combinatorics.

This volume provides an overview of current trends concerning algebraic and combinatorial aspects of tropical geometry through eleven papers combining expository parts and development of modern techniques and tools.

Readership

Graduate students and research mathematicians interested in tropical geometry, algebraic geometry, and combinatorics.

  • Articles
  • Benoît Bertrand and Frédéric Bihan — Intersection multiplicity numbers between tropical hypersurfaces
  • Benoît Bertrand, Lucía López de Medrano and Jean-Jacques Risler — On the total curvature of tropical hypersurfaces
  • Melody Chan, Margarida Melo and Filippo Viviani — Tropical Teichmüller and Siegel spaces
  • Melody Chan and Bernd Sturmfels — Elliptic Curves in Honeycomb Form
  • Jan Draisma and Bart Frenk — Tropically unirational varieties
  • Walter Gubler — A Guide to Tropicalizations
  • Zur Izhakian, Manfred Knebusch and Louis Rowen — Categorical Notions of Layered Tropical Algebra and Geometry
  • Eric Katz — Tropical realization spaces for polyhedral complexes
  • Patrick Popescu-Pampu and Dmitry Stepanov — Local tropicalization
  • Francisco Santos — Some acyclic systems of permutations are not realizable by triangulations of a product of simplices
  • Kristin M. Shaw — Tropical $(1,1)$-homology for floor decomposed surfaces
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.