Emerging Applications of Algebraic Geometry

• Corporate Author: SpringerLink (Online service)
• Other Authors: Putinar, Mihai (Editor), Sullivant, Seth (Editor)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York : Imprint: Springer, 2009.
• Series: The IMA Volumes in Mathematics and its Applications, 149
• Subjects: Mathematics.; Algebra.; Algebraic geometry.; Applied mathematics.; Engineering mathematics.; Algebraic Geometry.; General Algebraic Systems.; Applications of Mathematics.

Recent advances in both the theory and implementation of computational algebraic geometry have led to new, striking applications to a variety of fields of research. The articles in this volume highlight a range of these applications and provide introductory material for topics covered in the IMA wor...

Table of Contents:

• Polynomial Optimization on Odd-Dimensional Spheres
• Engineering Systems and Free Semi-Algebraic Geometry
• Algebraic Statistics and Contingency Table Problems: Log-Linear Models, Likelihood Estimation, and Disclosure Limitation
• Using Invariants for Phylogenetic Tree Construction
• On the Algebraic Geometry of Polynomial Dynamical Systems
• A Unified Approach to Computing Real and Complex Zeros of Zero-Dimensional Ideals
• Sums of Squares, Moment Matrices and Optimization Over Polynomials
• Positivity and Sums of Squares: A Guide to Recent Results
• Noncommutative Real Algebraic Geometry Some Basic Concepts and First Ideas
• Open Problems in Algebraic Statistics.