This volume contains the proceedings of the international conference ""Ordered Algebraic Structures and Related Topics'', held from October 12-16, 2015, at CIRM, Luminy, Marseilles, France. Papers contained in this volume cover topics in real analytic geometry, real algebra, and real algebraic geometry including complexity issues, model theory of various algebraic and differential structures, Witt equivalence of fields, and the moment problem.
F. Acquistapace, F. Broglia, and J. F. Fernando, Some results on global
real analytic geometry
M. Aschenbrenner, L. van den Dries, and J. van der Hoeven, Dimension in the
realm of transseries
V. Astier and T. Unger, Stability index of algebras with involution
S. Basu and C. Riener, Efficient algorithms for computing the Euler-Poincare
characteristic of symmetric semi-algebraic sets
L. Chua, D. Plaumann, R. Sinn, and C. Vinzant, Gram spectrahedra
M. Dickmann, F. Miraglia, and A. Petrovich, Constructions in the category of
real semigroups
A. Fehm and F. Jahnke, Recent progress on definability of Henselian
valuations
J. F. Fernando, M. Gamboa, and C. Ueno, Polynomial, regular and Nash images
of Euclidean spaces
P. Gladki, Witt equivalence of fields: A survey with a special emphasis on
applications of hyperfields
M. Infusino and S. Kuhlmann, Infinite dimensional moment problem: Open
questions and applications
T.-L. Kriel, A new proof for the existence of degree bounds for Putinar's
Positivstellensatz
F.-V. Kuhlmann, K. Kuhlmann, and F. Sonaallah, Coincidence point theorems for
ball spaces and their applications
F.-V. Kuhlmann and S. Kuhlmann, Valuation theory of exponential Hardy fields
II: Principal parts of germs in the Hardy field of o-minimal exponential
expansions of the reals
H. Lombardi and A. Mahboubi, Theories geometriques pour l'algebre des nombres
reels
V. Mantova and M. Matusinski, Surreal numbers with derivation, Hardy fields
and transseries: A survey
C. Scheiderer and S. Wenzel, Polynomials nonnegative on the cylinder
N. Schwartz, Positive semifields and their ideals
M. Tressl, On the strength of some topological lattices
D. Trotman and G. Valette, On the local geometry of definably stratified sets.
Fabrizio Broglia, Universita di Pisa, Italy.
Francoise Delon, Universite Paris Diderot, France.
Max Dickmann, Universite Paris Diderot, France.
Danielle Gondard-Cozette, Universite Pierre et Marie Curie, Paris, France.
Victoria Ann Powers, Emory University, Atlanta, Ga.