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Proceedings of the Valuation Theory Conference, Saskatoon 1999

These proceedings appeared in two volumes in the Fields Institute Communications Series, published by the American Mathematical Society.

Volume I appeared July 2002.
Volume II appeared September 2003.

Contents of Volume I

Shreeram S. Abhyankar: Two step descent in modular Galois theory, 31 pages
Serban Basarab: The arithmetic-arboreal structure of a Prüfer domain I, 18 pages
Hans Brungs and Günter Törner: Left valuation rings, left cones, and a question of Frege's, 7 pages
Vincent Cossart, Olivier Piltant and Ana J. Reguera-Lopez: Divisorial valuations on rational surface singularities, 13 pages
Tom Craven: *-valuations and Hermitian forms on skew fields, 13 pages
Steven Dale Cutkosky: Resolution of morphisms, 24 pages
Tim Gardener and Hans Schoutens: Rigid subanalytic sets, 10 pages
Joachim Gräter: Dubrovin valuation rings and orders in central simple algebras, 11 pages
Helen G. Grundman and Tara Smith: Q-adequate bicyclic bicubic fields, 11 pages
David Harbater and Marius van der Put: Valued fields and covers in characteristic p
(with appendix Supplements in p' by quasi p-groups by Robert Guralnick), 30 pages
Urs Hartl: Line bundles on rigid analytic spaces, 13 pages
Pascal Hitzler and Tony Seda: The Fixed-Point Theorems of Priess-Crampe and Ribenboim in Computational Logic, 17 pages
Sudesh K. Khanduja: The minimum property for Krasner's constant, 10 pages
Henri Lombardi: About Merckel's lemma, 4 pages
Mari-Emi Alonso and Henri Lombardi: Generalized Taylor formulas, computations in real closed valued fields and quantifier elimination, 25 pages
Alexander Prestel: Bounds for representations of polynomials positive on compact semi-algebraic sets, 7 pages
Alexander Prestel and Niels Schwartz: Model theory of real closed rings, 30 pages
Marius van der Put: Valuation theory in rigid geometry and curves over valuation rings, 15 pages
Peter Roquette: History of Valuation Theory, Part I, 65 pages
Joachim Schmid: A density property for PpC fields, 12 pages
Adrian Wadsworth: Valuation theory on finite dimensional division algebras, 65 pages

Contents of Volume II

K. Aghigh and S. K. Khanduja: A note on tame fields
M. Aschenbrenner: Some remarks about asymptotic couples
H. H. Brungs, H. Marubayashi, and E. Osmanagic: Prime segments for cones and rings
V. Cossart and G. Moreno-Socias: Irreducibility criterion: A geometric point of view
J. Denef and H. Schoutens: On the decidability of the existential theory of F_p[[t]]
W. Gao, D. B. Leep, J. Minác, and T. L. Smith: Galois groups over nonrigid fields
B. Green: Automorphisms of formal power series rings over a valuation ring
H. Knaf: Regular curves over Prüfer domains
J. Koenigsmann: Encoding valuations in absolute Galois groups
F.-V. Kuhlmann, H. Lombardi, and H. Perdry: Dynamic computations inside the algebraic closure of a valued field
G. Leloup: Preorders, rings, lattice-ordered groups and formal power series
F. Lorenz and P. Roquette: The theorem of Grunwald-Wang in the setting of valuation theory
R. I. Michler: Invariants of singular plane curves
J. Ohm: V-rational fields
H. Perdry: A generalization of Hensel's lemma
F. Pop: Classically projective groups and pseudo classically closed fields
P. Popescu-Pampu: Approximate roots
T. Scanlon: Quantifier elimination for the relative Frobenius
E. Schörner: Ultrametric fixed point theorems and applications
B. Teissier: Valuations, deformations, and toric geometry

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Last update: November 6, 2019 --------- created and maintained by Franz-Viktor Kuhlmann