The 13th Brazilian Mathematics Colloquium took place in Poços de Caldas, Minas Gerais, from July 13th to 24th, 1981. The coordinator was Professor Annibal Parracho Sant'Anna, from UFRJ. 522 participants attended, including representatives from 19 Brazilian states and 4 foreign countries.
Special sessions
Special Algebra Session
| Singularities of Conjugacy Classes and Representation |
Claudio Procesi, University of Rome |
| Enumerative Geometry |
Israel Vainsencher, UFPE |
| Algebraic Methods in Integral Quadratic Forms |
John S. Hsia, Ohio State Univ. |
| Some Problems about Sums of Squares |
Ricardo Baeza, University of Chile |
| Simple Restricted Lie Algebra Forms of Cartan Type |
Shirley Serconek, UFG |
| Structure of Homogeneous Spaces |
Walter R. Ferrer Santos, USP |
Special Analysis Session
| Uniqueness and non Uniqueness for the non Characteristic Cauchy Problem |
Claude Zuily, University of Paris XI |
| Nonlinear Boundary Condition for Parabolic Equations in One Space Dimension |
Daniel Henry, USP |
| Spectral Theory for a Hyperbolic System and Hopf Bifurcation |
Hermano de Souza Ribeiro, USP-São Carlos and Orlando F. Lopes, UNICAMP |
| Krichever's Methods for Solving Partial Differential Equations |
Jairo Athayde Cavalcante, UnB |
| Stability of Traveling Waves for Reaction-Diffusion Equations |
John Bryce Mclead, Oxford Univ. |
Special Geometry Session
| Enneper Type Complete Minimum Surfaces |
Chi Cheng Chen and Fritz Glakstatter, USP |
| The Gauss Map for Surfaces in R 3 , R 4 or S 3 |
David Hoffman, Univ. Massachusetts |
| Minimal Submanifolds with Small Normal Oscillation |
Doris Fischer-Colbrie, Univ. California-Berkeley |
| The CR Geometry of Real Hypersurfaces in C 2 |
Howard Jacobowita, Rutgers Univ. |
| Stability of Surfaces with Constant Mean Curvature |
João Lucas Barbosa, UFC |
| Tangential Cauchy-Riemann Partial Differential Equations and Several Complex Variables |
Masatake Kuramishi, Columbia Univ. |
| Three-dimensional Manifolds with Positive Curvature |
Richard Schoen, Univ. California-Berkeley |
Special Session on Numerical Analysis and Optimization
| About Khachiyan's Algorithm |
Arlindo Gomes de Alvarenga, UFPB |
| Structural Pattern Recognition |
Flávio Velasco, INPE |
| Directed Graphs Structured as Trees |
Jayme Luiz Szwarcfiter, UFRJ |
| Algorithms for Solving Nonlinear Algebraic Systems |
José Mário Martinez, UNICAMP |
| Applications of Integer Linear Programming |
Luciano Reis da Silveira, PUC-RJ |
| Computational Mathematics or How to Do Calculations with Minimal Effort |
Mauricio Vieira Kritz, LNCC |
| Topics in Eigenvalue Approximation of Matrices |
Paulo Roberto Oliveira, UFRJ |
| Combinatorial Aspects and Applications of Gaussians |
Ruy Madsen Barbosa, UNESP |
Special Topology Session
| Operation Y and Immersions, Integrality and Dives |
Antonio Conde, UNICAMP |
| Polynomial Foliations in R3 |
Carlos Frederico B. Palmeira, PUC-RJ |
| Duality Homomorphisms for a Variety with Singularities |
Jean Paul Brasselet, Univ. Lille |
| Jet Sufficiency |
Luiz A. Fávaro, USP São Carlos |
| Qualitative Properties of Foliations and the Differentiability Class |
Paul Schweitzer, PUC-RJ |
Special Session on Dynamical Systems
| Open Closing Problems |
Charles Pugh, Univ. California-Berkeley |
| Invariants Related to Dimension and Entropy |
Floris Takens, Univ. Groningen |
| Globally Structurally Stable Rn Actions on Spheres |
Guilherme Ellery, UFC |
| Variations on a Poincaré Formula |
Jean Pierre Françoise, IMPA |
| Structurally Stable Configurations of Lines of Principal Curvature |
J. Sotomayor, IMPA |
| Homogeneous Quadratic Differential Equations |
Maria Izabel T. Camacho, UFRJ |
| Singularities of Evolutes of Families of Subvarieties of Rn |
Pedro Mendes, CP Minas Gerais |
Special Session on Statistics and Probability
| On Bayesian Analysis of Categorical Data in Finite Populations |
Carlos Alberto Bragança Pereira, USP |
| Statistical Analysis in Simulation |
Carlos Alberto Dantas, USP |
| Topological Semigroups and Information Media |
Claude Langrand, University of Lille |
| Topological Games |
David Gale, Univ. California-Berkeley |
| Competitive Risk Theory: An Overview |
David Dorigo, UFRJ |
| Non-parametric discrimination: An example in the field of education. |
Djalma Pessoa, IMPA |
| Linear Systems Structure and Inference Problems |
Edward J. Hannan, Australian NU |
Other activities
In addition to the special sessions, the main activities developed during the 13th Colloquium were the Elementary and Intermediate Level Courses, 3 Lectures of General Interest (Surveys), 1 dissemination conference and 6 sessions for communications of research results in which 36 papers were presented. Two Meetings on Teaching were also held.
Elementary Courses
| Enumeration Principle |
Sóstenes Lins |
| The Method of Separation of Variables and Expansion into Eigenfunctions |
Rafael José Iório Jr. |
| Topology and Geometry of Plane Curves |
Antonio Carlos Asperti and Francesco Mercuri |
| Models for Time Series Forecasting |
Pedro Alberto Morettin and Clélia Maria de Castro Toloi |
Secondary Level Courses
| Combinatorial Configurations |
Imre Simon |
| Functional Analysis Methods Applied to Differential Equations |
David Goldstein Costa, Fernando Cardoso and José Ruidival Soares dos Santos Filho |
| Topics in Probability Theory |
Aloísio Pessoa de Araujo |
| Topics in Commutative Algebra |
Aron Simis and José Fernandes da Silva Andrade |
| Surface Transformations and Applications |
Keti Tenenblat |
| Curves Defined by Differential Equations in the Plane |
Jorge Sotomayor |
| Robust Estimation in the Position Model |
Oscar Bustos
|
Lectures of General Interest
| Local Properties of Analytical Operational Equations |
César Camacho, IMPA |
| Mean Curvature of Surfaces |
Manfredo P. do Carmo, IMPA |
| Electrical Circuits |
Marco Antonio Raupp, LNCC |
Meetings about Teaching
Meetings were held on Basic Education and Extension Courses at Universities, where experiences in teacher training, produced in various Brazilian universities, were presented, and the indicated program was discussed regarding its efficiency in the area of Mathematics.
