19th Brazilian Colloquium of Mathematics – 1993
The 19th Brazilian Mathematics Colloquium was held at the Institute of Pure and Applied Mathematics (IMPA) from July 26th to 30th, 1993. The coordinator was Professor Maria José Pacífico. Approximately 955 participants attended the 19th Brazilian Mathematics Colloquium.
Plenary Lectures
| Controllability of Distributed Systems | Jacques Louis Lions (College de France, France) |
| A survey on "Effective Methods in Diophantine Approximation | Enrico Bombieri (Inst. for Advanced Studies, Princeton, United States) |
| Great Moments in Matrices | Gene Golub (Stanford University, United States) |
| Solitary Waves and other long Wave Phenomena: Theory and Applications | Jerry Bona (Pennsylvania State University, United States) |
| Entropy, Large Deviations and Scaling Limits | Shinivasa Varadhan (New York Univ., United States) |
| John and Julia | Jean Christophe Yoccoz (Paris South, France) |
| Old and New Results on Systems of Linear Equations over a Polynomial Ring' | David Eisenbud (Brandeis University, United States) |
| Euler-Bernoulli and Springer Numbers of Coxeter Groups and Morsification Spaces | Vladimir Arnold (Steklov Institute, Russia) |
Outreach Lectures
| Graphs: Some Families and Their Problems | Oscar Porto (Department of Electrical Engineering, PUC/RJ) |
| First-Pass Percolation | Luiz Renato Fontes (IME/USP) |
| The Geometric Theory of Infinite Groups | Etienne Ghys (ENS – Lyon) |
| New and Old in Commutative Algebra |
Aron Simis (UFBA) |
Elementary Courses
| Lie Groups via Examples |
Alcibiades Rigas (UNICAMP) |
| Approximation of a Real Number by Rational Numbers |
Yves Lequain (IMPA) |
| An Introduction to Isoperimetric Inequalities |
Francesco Mercuri and Renato Pedrosa (UNICAMP) |
| Geometry and Numerical Analysis of Plane Functions in the Plane |
Nicolau Corção, Iaci P. Malta and Carlos Tomei (PUC/RJ) |
Advanced Courses
| Statistical Mechanics of Ferromagnetic Models | Henrique Von Dreifus (IME/USP) |
| The Nash-Moser Theorem and Applications | Jorge Hounie (UFPe) and Pedro Malagutti (UFS.Carlos) |
| Introduction to Dynamic Economics and Incomplete Markets |
Aloisio Araújo (IMPA) |
| Compensated Compactness Applied to Conservation Laws |
Hermano Frid Neto (UFRJ) |
| Introduction to Methods of Parallel Optimization | Yair Censor (Haifa Univ.) and Stavros Zenios (Pennsylvania) |
| The Parabolic Bifurcation of Rational Maps |
M. Shishikura (Tokyo Inst. of Technology) |
| Statistical Theory |
Carlos Alberto Bragança Pereira (IME/USP) |
| Conformal Geometry and Partial Differential Equations |
José Fernandes Escobar (Indiana) |
Special Sessions
Algebra Session
| Diagonal Subalgebras of Bigraded Algebra | Aron Simis (UFBA) |
| Semi-Simplicity of Free Central Extensions | Miguel Ferrero (UFRGS) |
| Hilbert Functions of Ideals Containing a Regular Sequence | David Eisenbud (Brandeis University, United States) |
| Algebraic Curves over Finite Fields | Abramo Hefez (UFF) |
| Theory of D-Module Representations and Geometry | Severino Collier (UFRJ) |
| Prime Numbers in Large Arithmetic Progressions | Enrico Bombièri (Inst. for Advanced Studies, Princeton, United States) |
| Generic Group Representations |
Said Sidki (UnB) |
Analysis Session/EDP
| Unstable Simple Modes of Nonlinear String | Thierry Cazenave (Univ. Paris VI) |
| New Equilibria – Remarks and Open Problems | Jacques Louis Lions (College de France) |
| Euler-Poisson-Darboux Equations and Hyperboic Conservations Law | Gui-Qiang Chen (Univ. of Chicago) |
| Minimum of Certain Translation-Invariant Functionals: Existence and Radical Symmetry |
Orlando Lopes (UNICAMP) |
| WKB Analysis of Global Hypoellipticity and Solvability |
Massafumi Yoshino (Faculty of Economics, Chuo University, Japan) |
| Partial Automorphisms, the Odometer, and Fermion Algebra |
Ruy Exel (IME/USP) |
Computer Graphics Session
| Computer Graphics Modeling | Jonas de Miranda Gomes (IMPA) |
| Convex object configurations that cannot be separated with two hands. | Jorge Stolfi (UNICAMP) |
| Multiple Object Recognition via Adaptive Strategies and Classification Trees |
Basilis Guidas (Brown Univ.) |
| Differentiability Conditions for Self-Affine Curves | Ronaldo Marinho Persiano (COPPE/UFRJ) |
| Linear Arithmetic | Jorge Stolfi (UNICAMP) |
| Computational Morphology: Reconstruction via Graphs |
Luiz Henrique de Figueiredo (IMPA) |
Economics Session
| Contract Theory and its Application to Debt Problems | Waler Novaes (Getúlio Vargas Foundation/University of Washington) |
| Decomposition, Trend, and Cycle in Macroeconomic Series | João Victor Issler (Getúlio Vargas Foundation) |
| Some Estimation Issues in Econometrics | Renato Flores (UFRJ) |
| Sequential Auctions with Participation Costs | Flávio Menezes/E. Brecht Wiggans (IMPA) |
| Equilibrium in Incomplete Markets and a State Continuum |
Paulo Klinger Monteiro (UFRJ) |
| The Price Index Futures Market in Brazil | Marcio Garcia (PUC/RJ) |
| Undiscounted Economic Growth Problem and Competitive Prices | Wilfredo Leiva (IMPA) |
| Integral Options |
Ernesto Mordecki (Steklov Institute, Russia) |
Geometry/Topology Session
| Configuration Spaces and Toric Varieties |
Martin Guest (Rochester University) |
| The Spectrum of the Laplacian on Forms and Applications | José Fernandes Escobar (Indiana Univ.) |
| Exotic Actions of Free Klemian Groups | Nikolay Gusevskii (IME/USP) |
| Surfaces with Zero Curvature Function: Ellipticity and Symmetry |
Maria Luiza S. Leite (UFPe) |
| p 1 ( B T) and ( p 1 ( M ) ) / L for Some Types of Co-dimension Foliations | Paulo Gusmão (UFF/RJ) |
| Hypersurfaces with Constant Mean Curvature |
Hilário Alencar (UFAL) |
Optimization Session
| Non-Quadratic Extensions of the Proximal Point Method |
Alfredo Iusem (IMPA) |
| New Results for the Stable Pairings Problem | Hernán Abeledo (G. Washington Univ.) |
| Line Action Algorithms for Convex Programming |
Benar Fux Svaiter (IMPA) |
| Gradient Methods and Riemannian Metrics |
João Xavier da Cruz Neto (UFRJ) |
Probability/Statistics Session
| Non-Equilibrium Stationary Measure for an Interacting Particle System | Stefano Olla (Univ. Torino, Italy) |
| Ultrametric Potentials for Finite Markov Chains | Servet Martinez (Univ. Chile) |
| Maximum-Likelihood Identifications of Grammars (A Model for Language Change) | Antonio Galves (IME/USP) |
| The Stochastic Burgers Equation |
Giovanni Jona-Lasinio (Univ. di Roma, La Sapienza, Italy) |
| Long Time Behavior of Charged Particles in the Ideal Gas | Vladas Sidoravicius (IMPA) |
| Self Diffusion for Asymmetric Mean Zero Random Walks with Simple Exclusion | Shinivasa Varachan (Courant Inst., United States) |
| Large Deviations from Hydrodynamical Behavior for a Ginsburg-Landau Process |
Claudio Landim (Courant Institute, NY, United States) |
Dynamic Systems Session
| Rotation Numbers and the Modular Group |
Etienne Ghys (ENS Lyon) |
| Symmetry and Chaos: Patterns on Average | Martin Golubisky (Houston Univ., United States) |
| Linearization in Hyperbolic Singularity Basins in C2 |
Paulo Sad (IMPA) |
| A Solution to the Two-Dimensional Global Asymptotic Stability Conjecture |
Carlos Gutierrez (IMPA) |
Extra Activities
| An Informal Seminar on the Work of A. Wiles | Enrico Bombièri (Inst. Adv. St., Princeton, NJ, United States) |