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 arithmeticarboreal 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. RegueraLopez: 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: Qadequate 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
pgroups by Robert Guralnick),
30 pages

Urs Hartl: Line bundles on rigid analytic spaces,
13 pages

Pascal Hitzler and Tony Seda: The FixedPoint Theorems of PriessCrampe
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

MariEmi 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 semialgebraic 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. MorenoSocias: 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, latticeordered groups and
formal power series
 F. Lorenz and P. Roquette: The theorem of GrunwaldWang in
the setting of valuation theory
 R. I. Michler: Invariants of singular plane curves
 J. Ohm: Vrational fields
 H. Perdry: A generalization of Hensel's lemma
 F. Pop: Classically projective groups and pseudo
classically closed fields
 P. PopescuPampu: 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
Last update: May 23, 2023