18th Brazilian Colloquium of Mathematics – 1991
The 18th Brazilian Mathematics Colloquium was held at the Institute of Pure and Applied Mathematics (IMPA) from July 22nd to 26th, 1991. The coordinator was Professor Maria José Pacífico. Approximately 1,100 participants attended the 18th Brazilian Mathematics Colloquium.
Plenary Lectures
| On the Geometry of Julia Sets | P. Jones (Yale University) |
| The General Monotone Convergence Theorem and Measurable Selections | J. Hoffmann-Jorgensen (Aarhus Univ. – Denmark) |
| Buildings and Kac-Moody Group | J. Tits (Collège de France – France) |
| A Dynamical Approach to Ramsey Theory |
H. Furstenberg (Hebrew Univ. – Israel) |
| Invariant Sets for Twist Mappings and the Calculus of Variations | J. Moser (ETH Zentrum – Zurich) |
| Interactive Proofs and Approximation Algorithms |
L. Lovasz (Lorand Eötvös University, Hungary/Princeton University) |
| Stochastic Partial Differential Equations and Theories of Fluid Mixing | J. Glimm (SUNY at Stony Brook) |
Outreach Lectures
| Computer Graphics Mathematical Methods of Computer Graphics |
Jonas de Miranda Gomes (IMPA) |
| Statistics/Probability Introduction to Bayesian Dynamic Models with Applications to Different Areas of Statistics |
Dani Gamerman (Federal University of Rio de Janeiro) |
| Analysis/EDP Functional Analysis and Partial Differential Equations |
Paulo Cordaro (University of São Paulo) |
| Dynamic Systems Attractors, Bifurcations, Chaos |
Marcelo Viana (IMPA) |
Elementary Courses
| Theory of Computation over the Reals | Prof. Lenore Blum – ICSI, USA |
| An Introduction to Fluid Mechanics |
Prof. Severino Toscano Melo (UFPE) and Francisco Moura Neto (PUC – RJ) |
| Topics in Algebraic Combinatorics | Prof. Aron Simis (UFPE) |
| Introduction to Computational Geometry |
Prof. Paulo Cesar Pinto Carvalho (IMPA) |
| Curvature Lines and Umbilical Points on Surfaces |
Prof. Jorge Sotomayor and Carlos Gutierrez (IMPA) |
| Optimization Problems in Stochastic Processes | Prof. Claudio Landim (CNRS – France) |
| Topics in Combinatorial Games |
Prof. Nicolau Corção Saldanha – (PUC-RJ) |
Advanced Courses
| Stochastic Calculus | Prof. Mauro S. de F. Marques and Luiz San Martin (UNICAMP) |
| Elliptic and Algebraic Functions and Minimal Surfaces | Prof. Celso J. da Costa (Federal Fluminense University) |
| Introduction to Nonlinear Evolution Equations |
Prof. Rafael Iório – IMPA and Wagner VL Nunes (Univ. of São Paulo) |
| Global Variational Methods in Conservative Dynamics |
Prof. Ricardo Mañé (IMPA) |
Special Sessions
Algebra Session
| Integral Quadratic Forms up to Spinor Equivalence | JS Hsia (Ohio State Univ.) |
| Whitney Conditions as Equisingularity Conditions | R. Bedregal (Federal University of Pernambuco) |
| Jacobian Matrices and Constructions in Algebra | W. Vasconcelos (Rutgers Univ.) |
Analysis Session/EDP
| Harmonic Measure and Hausdorff Dimension | Peter Jones (Yale University) |
| Classes of Riemann Solution and Monuniquess for Mixed Problems | Arthur Vicentini Azevedo (University of Brasília) |
| Rarefaction Fields in Systems of three Conservation Laws | Cesar de Souza Eschenazi (State University of Maringá) |
| Combustion in two Phase Flow in Porous Medias |
Jesus Carlos da Mota |
| Waves Manifolds and Dynamical Systems (The Works of P. Xu and S. Canic) |
Bradley Plohr (Wisconsin University) |
| On the Boundary Value Problems for Conservation Laws |
Hermano Frid Neto (UFRJ) |
| Anomaly Diffusion for Flow in Porows Media | F. Furtado (IMPA) |
| Physical Schock Waves: A Global Picture | Bradley Plohr (Wisconsin University) |
| On Liouville's Theorem for Elliptic Partial Differential Equations | J. Moser (ETH Zentrum – Zurich) |
| Differential Equations in the Spectral Paramater Solutions Symmetries | JP Zubelli (Univ. of California – Sta. Cruz) |
| Asymmetric Semilinear Elliptic Equations | D. Figueiredo (Unicamp) |
| Decay and Regularity in Evaluation Equations | M. Ben Artzi (Hebrew Univ. of Jerusalem) |
| Water Waves in Shallow Channels of Randomly Varying Depth | A. Nachbin (Ohio State University) |
| Blow-up off H Solutions for the Nonlinear Schrödinger Equation | Y. Tsutsumi (Nagoya University) |
| Exact Boundary Controllability for the Schrödinger Equation |
E. Machtyngier (UFRJ) |
Numerical Calculation Session
| Flow Models in Contaminated Groundwater | PJ Paes-Leme (PUC/RJ) |
| Objective Computing: Applications of Object-Oriented Programming Philosophy in Scientific Computing |
Philipe Devloo (INPE) |
Combinatorics Session
| Triangle Packing and Covering in Graphs | Y. Kohayawa (USP) |
| Optimization Problems about Semigroups |
Julian Araoz (Univ. Simon Bolivar) |
Computer Graphics Session
| Binocular Stereo with Occlusions |
Davi Geiger (Siemens Laboratory) |
Mathematical Economics Session
| The Dynamics of Hyperinflation | Fernando de H. Barbosa – Getulio Vargas Foundation |
| Minimal and Maximal just Identifying Assumptions in Non-Parametric Selections Models | Ricardo Paes e Barros – Institute for Applied Economic Research |
| Value of Public Information: The Case of Hara Utility Functions |
Paulo Cesar Coutinho – IMPA |
| Why do speculative markets exist? | Sergio Werlang – Getulio Vargas Foundation |
| Convergence to Rational Expectations |
Aloisio Araujo/Álvaro Sandroni – IMPA |
| Real and Derivatives Securities: Does it make any Difference? |
Gonzalo Contreras – Pont. Univ. Catholic – RJ |
Geometry Session
| Surfaces of Constant Mean Curvature | M. do Carmo (IMPA) |
| Geometry and Topology in 7th Dimension | A. Rigas (University of Campinas) |
| Submanifolds of Constant Curvature | K. Tenenblat (University of Brasília) |
| Stiffness of Isometric and Conformal Immersions |
M. Dajczer (IMPA) |
| Conformal Deformation of a Riemannian Metric to a Constant Scalar Curvature Metric with Constant mean Curvature on the Boundary |
Jose Escobar (Indiana University) |
Numerical Methods Session
| Stability of Large Power Systems under Small Disturbances | Licio H. Bezerra (UFSC) |
| Plan Functions in the Plan | Nicolau Saldanha (PUC – RJ) |
| Stability of Algorithms for Singular Values of Matrices |
Paulo Sad (IMPA) |
Continuous Optimization Session
| Iterative Algorithms for Image Reconstruction | Alfredo Iusem (IMPA) |
| Mathematical Foundations and Strategies in Interior Point Algorithms | Clovis C. Gonzaga (UFRJ) |
| Interior Trust Regions in Nonlinear Optimization |
Clovis Gonzaga (UFRJ) |
| The Weighted Clique Graph |
Jayme Luiz Szwarcfiter (UFRJ) |
Probability/Statistics Session
| Fourier and Likelihood Analysis in NMR Spectroscopy | D. Brillinger (Univ. of California – Berkeley) |
| Asymptotic Normality of Maximum Estimators | J. Hoffman-Jorgensen (Aarhus University) |
| Consistently of Maximum Estimators | J. Hoffman-Jorgensen (Aarhus University) |
| Influence Diagrams Relevance and Graphs |
Jim Smith (Univ. of California – Berkeley) |
Informal Seminar Session on Probability and Statistics
| On Quasi-Stationary Measurements for Particle Systems | S. Martinez (University of Chile) |
| Stability of an "Instanton" under Small Stochastic Perturbations | S. Brassesco (Univ. of Chile) |
Dynamic Systems Session
| Mather's Minimizing Measures for C ∞ Generic Lagrangian Systems |
Ricardo Mañé (IMPA) |
| The Zeta Function and Non-Differentiability of Pressure |
Artur O. Lopes (UFRGS) |
| Henon-like Strange Attractors and their Prevalence at Saddle-Node Critical Cycles | Marcelo Viana (IMPA) |
| Topological Stability of Conservative Dynamical Systems |
Mr. Herman (CNRS – France) |
| Attractors, Persistent Recurrence and Renormalization in One-Dimensional Dynamics | M. Lyubich (State University of New York – Stony Brook) |
| Dynamical Systems on Nilmanifolds and their Role in Ergodic Theory | H. Furstenberg (Hebrew University) |
| Tangencies Between the Stable and Unstable Foliations of a Basic Set |
JC Yoccoz (Paris-Sud – Orsay) |
Topology Session
| Asymptotic Commutativity of Matrices and the Soft Torus | Ruy Exel (USP) |
| Either Digraphs or Pretotopological Spaces? | J. Carlos Kiihl (Unicamp) |
| Involutions without Fixed Points in S | M. Wanderley (UFPE) |
| A 3-manifold Invariant by State Summation |
Sostenes Lins (UFPE) |
| On a Result of Livesay |
M. Wanderely (UFPE) |