17th Brazilian Colloquium of Mathematics – 1989
The 17th Brazilian Mathematics Colloquium took place at the Institute of Pure and Applied Mathematics (IMPA) from July 17th to 21st, 1989. The coordinator was Professor Yves Albert Emile Lequain. The Colloquium had 679 participants, including representatives from 22 Brazilian states and some foreign countries.
Special Sessions
Algebra Session
Coordinator: José Felipe Voloch
| Asymptotic Curves to Plane Curves | Abramo Hefez (UFES) |
| L 2 – Leftschetz Numbers | S. Shokranian (UnB) |
| Generalized Formal Series | P. Ribenboim (Queens Univ., Canada) |
| A Brief History of Enumerative Geometry: The Tangence of Conics to Quantums in P3 | D. Avritzer (UFMG) |
| Biduality of Algebraic Curves |
Analysis Session/EDP
Coordinator: Paulo D. Cordaro
| On the Convergence of Fourier Series | Geraldo de Souza (Auburn – USA) |
| Transversality Theme and Variations | Daniel Henry (IME/USP) |
| Continuous and Differentiable Restrictions of Real Valued Functions | Jack Brown (Auburn – USA) |
| Extending Cellular Cohomology Pair C* – Algebra |
Ruy Exel (USP) |
| The Dirichlet Problem for Elliptic Equations |
Carlos Kenig (Chicago Univ., USA) |
| Asymptotic Aspects when T-> ∞ of Some Evolution Equations or Systems |
Gustavo Perla Menzala (UFRJ/LNCC) |
| Generalizing Classical Result of Fourier Analysis | Daniel Waterman (Syracyse – USA) |
| Degenerate Parabolic Equations | Cristian Gutierrez (Temple – USA) |
| Coerciveness and the Palais-Smale Condition | David Goldstein Costa (UnB) |
| Localized Solutions of a Singular Non-Linear Dirac Field | Thierry Cazenave (Paris VI/UFRJ) |
| Local Integrability of Vector Fields | Jorge Hounie (UFPE) |
| Conservations Laws and Chaos: Theory and Computation | James Glimm (Courant Institute – USA) |
Numerical Analysis and Optimization Session
Coordinator: Clovis Gonzaga
| Stochastic Optimization Techniques Applied to Power System Planning and Operations |
Mário Veiga F. Pereira (PUC-RJ) |
| The Expectation-Maximization Algorithm for Image Reconstruction Problems | Alfredo Iusem (IMPA) |
| Some Problems and Methods in Scientific Computing and Applied Mathematics |
Carlos Alberto de Moura (LNCC) |
| Modeling, Analysis and Simulation of Oil Reservoirs |
Paulo Jorge Paes Leme (PUC-RJ) |
| Numerical Methods in Modeling and Simulation of Chemical Processes | Evaristo Biscaia Jr. |
| Sequential Quadratic Programming | José Mario Martinez (UNICAMP) |
| Minimizing Functions with Piped Variables | Ana Friedlander (UNICAMP) |
| Implementation and Testing of an Interior Algorithm | Mauricio Resende (AT & Bell Laboratoires – USA) |
| The Traveling Salesman Problem, with Temporal Dependence | Abílio Lucena (Imperial College – England) |
| Optimal Expansion of Reactive Power Sources: A Large-Scale Nonlinear Programming Application to Electric Power Systems | Sergio Granville (CEPEL – Eletrobrás) |
| External Approximation Methods in Convex Programming | Carlos Humes Jr. (IME/USP) |
| Centering and Cutting Methods in Convex Programming | Clóvis Gonzaga (COPPE/UFRJ) |
Computer Science and Combinatorics Session
Coordinator: Sóstenes Lins
| Steiner problems in graphs | Nelson Maculan (COPPE/UFRJ) |
| Perspectives on Simplicia Methods | Geovan Tavares dos Santos (PUC-RJ) |
| "Simulated Annealing" and "Tabu Search": Algorithms and Applications in Optimization and Combinatorics |
Celso Ribeiro (PUC-RJ) |
| Circuit Packaging and Coverings | Manoel Lemos (UFPE) |
| Scenes of Explicit Bijection | Arnaldo Mandel (IME/USP) |
| Three-Dimensional Varieties… The Combinatorial Explosion is Controllable | Sóstenes Lins (UFPE) |
| Regarding the Polyhedra Generated by the Cutting Planes |
Paulo Cezar Pinto Carvalho (IMPA) |
Mathematics Teaching Session
Coordinator: Gilda de la Rocque Palis
| An Experience Using Computers as a Teaching Tool in the Qualitative Study of Functions in an Introductory Calculus Course | Lynne K. Spiña (Wyinubg USA/PUC-RJ) |
| An Experience Using Computers as a Teaching Tool in an Introductory Course on Ordinary Differential Equations | Gilda de la Rocque Palis (PUC-RJ) |
Statistics Session
Coordinators: Gauss Moutinho Cordeiro and Reinaldo Castro Souza
| Linear Estimation and Identification in Time Series Models | Basílio Pereira (UFRJ) |
| Bayesian Classification for Data in Spatial Structure | Ruben Klein (LNCC) |
| Quantile Regression and Applications | Gabriela Stangenhans (UNICAMP) |
| Medical Diagnosis and Measures of Influence | Carlos Pereira (IME/USP) |
| Regression Models with Restricted Explanatory Variables |
Annibal Parracho Sant'Anna (UFRJ) |
| Linear Regression with Measurement Error | Edina Miazaki (UnB) |
| Transfer Function Models | Clelia Toloi (IME/USP) |
| Generalized Growth Models: Bayesian Approaches | Helio Migon (UFRJ/ENCE) |
| Causality Analysis in Temporal Systems |
Pedro A. Moretti (IME/USP) |
Geometry Session
Coordinator: Alcebiades Rigas
| Backlund Transformation for a Family of Equations of Surfaces of Constant Gaussian Curvature |
Mauro Luiz Rabelo (UnB) |
| Solutions and Symmetry Groups of the Intrinsic Generalized Wave and Sine-Gordon Equations | Keti Tenenblat (UnB) |
| Fully Geodesic Submanifolds of a Manifold with Positive Curvature | Remi Langevin (Dijon France – PUC-RJ) |
| Geodetic Flows in Negative Curvature Varieties with Horopheric Foliations C ∞ |
Renato Feres (UNICAMP) |
| Prescribing Curvatures of Hypersurfaces in Space Forms | Wladimir Oliker (Atlanta USA – UFCE) |
| Minimal Surfaces in Kähler Varieties | Katsuei Kenmotsu (Tohoku Japan – IME/USP) |
| Kähler's Variety Immersion in Euclidean Space |
Renato Tribuzy (UFAM) |
Probability Session
Coordinators: Enrique D. Andjel and Roberto H. Shonmann
| Boundary Processes of One-Dimensional Growth Systems | Rinaldo Schinazi (IME/USP) |
| Entropy and Harmonic Functions | François Leedrapier (Paris VI – IMPA) |
| Markovian Systems and Reaction-Diffusion Equations: Behavior in the Vicinity of Instability | Maria Eulalia Vares (IMPA) |
| Critical Drops and Half-Stability for the Stochastic Ising Model in the Very Low Temperature Limit |
Eduardo Jordão Neves (IME/USP) |
Dynamic Systems Session
Coordinator: Marco Antonio Teixeira
| Homoclinic Bifurcations |
Floris Takens (Groningen/Netherlands – IMPA) |
| Uniqueness of Boundary Cycles | A. Gasull (Univ. Autonoma de Barcelona) |
| Systems Integrability with Calogero-Type Potential |
W. Oliva (IME/USP) |
| Global Asymptotic Stability | J. Sotomayor (IMPA) |
| On Minimal Flows in Three-Dimensional Manifolds | C. Gutierrez (IMPA) |
| Structural Stability of Multiform Differential Equations | F. Palmeira (PUC-RJ) |
| Sum of Cantor Sets and Homoclinic Bifurcations | JC Yoccoz (Paris – IMPA) |
| A Solution to the Two-Dimensional Global Asymptotic Stability Conjecture |
Carlos Gutierrez (IMPA) |
Topology Session
Coordinators: Derek Hacon and Alcebiades Rigas
| Fixed Point Indices of Equivariant Maps |
Katsuhiro Komiya (Japan – USP/SC) |
| Harmonic Applications in Periodic Varieties and in the Loop Group | Caio Negreiros (UNICCAMP) |
| On Topological Invariant of Basic Cohomology | Aziz El Kacini Alaoni (Lille/France – UFCE) |
| Browsing by Plans |
Nathan Moreira dos Santos (PUC-RJ) |
| Floer's Homology | Celso M. Doria (IME/USP) |
Scientific Initiation Courses, Intermediate Level and Advanced Level
In addition to the special sessions, the main activities developed during the 17th Colloquium were the Scientific Initiation Courses, at the Intermediate and Advanced levels, and 7 sessions for presenting research results, in which 31 papers were presented.
Scientific Initiation Courses
| Structural Models for Time Series Forecasting: Classical and Bayesian Approaches | Reinaldo Castro Souza (PUC-RJ) |
| Prime Numbers and Cryptography | Manoel José MS Lemos (UFPE) |
| Simplicial Methods and Computer Graphics: A Unified Perspective | Jonas Gomes (IMPA) and Geovan T. dos Santos (PUC-RJ) |
Secondary Level Courses
| Interior Point Methods for Linear Programming | Clóvis C. Gonzaga (COPPE/UFRJ) |
| p-Adic Numbers and p-Adic Analysis | Fernando Quadros Gouvêa (IME/USP) |
| Regression Models for Univariate Data Analysis | Gilberto A. Paula (IME/USP) and Gauss Moutinho Cordeiro (UFPE) |
Advanced Level Courses
| Spectral Properties of the Laplacean | Fernando Cardoso (UFPE) |
| Asymptotic Development and Introduction to Resurgent Differential Calculus | Julio Cesar Canille Martins (UNESP) |
| One-Dimensional Dynamics | Welington Celso de Melo (IMPA) |