Algebraic and combinatorial aspects of tropical geometry : CIEM Workshop, tropical geometry, December 12-16, 2011, International Center for Mathematical Meetings, Castro Urdiales, Spain

Author(s)

• CIEM Workshop on Tropical Geometry
• Brugallé, Erwan

Bibliographic Information

Algebraic and combinatorial aspects of tropical geometry : CIEM Workshop, tropical geometry, December 12-16, 2011, International Center for Mathematical Meetings, Castro Urdiales, Spain

Erwan Brugallé ... [et al.], editors

（Contemporary mathematics, 589）

American Mathematical Society, c2013

Other Title

Tropical geometry, algebra and combinatorics

Note

Includes bibliographical references

Description and Table of Contents

Description

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.

Table of Contents

Table of Contents: Intersection multiplicity numbers between tropical hypersurfaces by B. Bertrand and F. Bihan On the total curvature of tropical hypersurfaces by B. Bertrand, L. L. de Medrano, and J.-J. Risler Tropical Teichmuller and Siegel spaces by M. Chan, M. Melo, and F. Viviani Elliptic curves in honeycomb form by M. Chan and B. Sturmfels Tropically unirational varieties by J. Draisma and B. Frenk A guide to tropicalizations by W. Gubler Categorical notions of layered tropical algebra and geometry by Z. Izhakian, M. Knebusch, and L. Rowen Tropical realization spaces for polyhedral complexes by E. Katz Local tropicalization by P. Popescu-Pampu and D. Stepanov Some acyclic systems of permutations are not realizable by triangulations of a product of simplices by F. Santos Tropical $(1,1)$-homology for floor decomposed surfaces by K. M. Shaw

by "Nielsen BookData"

Details

• NCID: BB1271731X
• ISBN:
  • 9780821891469
• LCCN: 2013005032
• Country Code: us
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: Providence, R.I.
• Pages/Volumes: x, 350 p.
• Size: 26 cm
• Classification:
  • LCC : QA582
  • DC23 : 516.3/5
• Subject Headings:
  • LCSH : Tropical geometry -- Congresses
  • LCSH : Combinatorial analyss -- Congresses
• Parent Bibliography ID:
  • BA00009927