edited by Shyuichi Izumiya (Hokkaido University, Japan) , Goo Ishikawa (Hokkaido University, Japan) , Ichiro Shimada (Hokkaido University, Japan) , Hiroo Tokunaga (Tokyo Metropolitan University, Japan) , & Takasi Sano (Hokkaigakuen University, Japan)

This is the proceedings of the meeting entitled “The 12th MSJ International Research Institute of the Mathematical Society of Japan 2003”. The papers cover several important topics in Singularity theory. Especially some of them are survey on motivic integrations, Thom polynomials, complex analytic singularity theory, generic differential geometry etc.

Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets except North America

• On Time Averaged Optimization of Dynamic Inequalities on a Circle (A Davydov)
• Thom Polynomial Computing Strategies. A Survey (L M Fehér & R Rimányi)
• The Complex Crystallographic Groups and Symmetries of J₁₀ (V Goryunov & S H Man)
• tt* Geometry and Mixed Hodge Structures (C Hertling)
• Thom Polynomials (M Kazarian)
• Quasi-Convex Decomposition in o-Minimal Structures. Application to the Gradient Conjecture (K Kurdyka & A Parusinski)
• Homotopy Groups of Complements to Ample Divisors (A Libgober)
• Massey Products of Complex Hypersurface Complements (D Matei)
• On Degree of Mobility for Complete Metrics (V S Matveev)
• Valuations, and Moduli of Goursat Distributions (P Mormul)
• Semidifférentiabilité et version lisse de la Conjecture de Fibration de Whitney (C Murolo & D Trotman)
• Submanifolds with a Non-Degenerate Parallel Normal Vector Field in Euclidean Spaces (J J Nuño-Ballesteros)
• Weighted Homogeneous Polynomials and Blow-Analytic Equivalence (Y O M Abderrahmane)
• Characteristic Classes of Singular Varieties (A Parusinski)
• On the Classification of 7th Degree Real Decomposable Curves (G M Polotovskiy)
• A-Topological Triviality of Map Germs and Newton Filtrations (M J Saia & L M F Soares)
• On the Topology of Symmetry Sets of Smooth Submanifolds in R^k (V D Sedykh)
• An Infinitesimal Criterion for Topological Triviality of Families of Sections of Analytic Varieties (M A S Ruas & J N Tomazella)
• Lines of Principal Curvature Near Singular End Points of Surfaces in R³ (J Sotomayor & R Garcia)
• (r) Does Not Imply (n) or (npf) for Definable Sets in Non Polynomially Bounded o-Minimal Structures (D Trotman & L Wilson)
• Valuations and Local Uniformization (M Vaquié)
• Arc Spaces, Motivic Integration and Stringy Invariants (W Veys)
• Finite Dehn Surgery Along A'Campo's Divide Knots (Y Yamada)