### 15/05/2001, 15:00 — 16:00 — Room P3.10, Mathematics Building

Pedro Martins Rodrigues, *Instituto Superior Técnico*

### Bowen-Franks groups as invariants for ${T}^{n}$-automorphisms

### 08/05/2001, 15:00 — 16:00 — Room P3.10, Mathematics Building

Ana Barroso, *Universidade de Lisboa*

### Um resultado de relaxação no espaço das funções de deformação limitada

### 24/04/2001, 15:00 — 16:00 — Room P3.10, Mathematics Building

Luís Sanchez, *Universidade de Lisboa*

### Heteroclínicas para uma Equação de Quarta Ordem Conservativa

### 19/04/2001, 11:00 — 12:00 — Room P3.10, Mathematics Building

Mark Vishik, *IITP, Russian Academy of Sciences*

### Attractors for equations of mathematical physics

### 10/04/2001, 15:00 — 16:00 — Room P3.10, Mathematics Building

Yakov Pesin, *Pennsylvania State University*

### On the Existence of Bernoulli Diffeomorphisms with Nonzero Lyapunov Exponents on Compact Smooth Manifolds

### 03/04/2001, 15:00 — 16:00 — Room P3.10, Mathematics Building

Mark Vishik, *IITP, Russian Academy of Sciences*

### Attractors for non-autonomous evolution equations

### 29/03/2001, 11:00 — 12:00 — Room P3.10, Mathematics Building

David Kinderlehrer, *Carnegie Mellon University*

### Remarks about diffusion mediated transport

Diffusion mediated transport is implicated in the operation of many molecular level systems. These include some liquid crystal and lipid bilayer systems, and, especially, the motor proteins responsible for eukaryotic cellular traffic. All of these systems are extremely complex. In this expository talk we address the basic elements of transport in an environment of diffusion, concentrating on the flashing rachet. We illustrate how to characterize the properties of this process in terms of a Markov chain. It is of essential importance to understand what it means to determine a Markov chain in this manner, namely, the sense in which the discrete problem is an accurate description of the original continuous one. Here we are able to exploit some novel concepts about the dynamics of evolutionary systems including an appeal to the classical Monge transfer problem. This perspective illuminates the fundamental connection between the two problems and presents an opportunity for future applications.

This is joint work with Michal Kowalczyk.

### 13/03/2001, 15:00 — 16:00 — Room P3.10, Mathematics Building

Alexander Sharkovsky, *Institute of Mathematics, National Academy of Sciences of Ukraine*

### Boundary value problems and dynamical systems

### 08/03/2001, 11:00 — 12:00 — Room P3.10, Mathematics Building

Antonio Linero, *Universidad de Murcia*

### On the periodic structure of sigma-permutation maps on ${I}^{n}$ and ${T}^{n}$

### 05/03/2001, 15:00 — 16:00 — Room P3.10, Mathematics Building

Diogo Gomes, *Instituto Superior Técnico*

### Métodos de equações diferenciais para sistemas hamiltonianos II

### 05/03/2001, 11:00 — 12:00 — Room P4.35, Mathematics Building

Diogo Gomes, *Instituto Superior Técnico*

### Métodos de equações diferenciais para sistemas hamiltonianos I

### 22/02/2001, 11:30 — 12:30 — Room P3.10, Mathematics Building

Zvi Artstein, *The Weizmann Institute of Science*

### Singularly perturbed ordinary differential equations: an overview. II

### 22/02/2001, 10:00 — 11:00 — Room P3.10, Mathematics Building

Zvi Artstein, *The Weizmann Institute of Science*

### Singularly perturbed ordinary differential equations: an overview. I

### 13/02/2001, 15:00 — 16:00 — Room P3.10, Mathematics Building

David Forge, *Universidade de Lisboa*

### Universal Gröbner bases for Orlik-Solomon algebras

### 06/02/2001, 15:00 — 16:00 — Room P3.10, Mathematics Building

Rafael Villarreal, *Centro de Investigatión y de Estudios Avanzados, IPN, México*

### Normality of monomial algebras defined by unimodular matrices

### 30/01/2001, 15:00 — 16:00 — Room P3.10, Mathematics Building

Andrei Tyurin, *Steklov Institute of Mathematics*

### Deformation of algebraic geometry to special Lagrangian geometry

### 19/12/2000, 15:00 — 16:00 — Room P3.10, Mathematics Building

Vítor Araújo, *Universidade do Porto*

### Decomposição espectral para aplicações sob perturbações aleatórias

### 05/12/2000, 15:00 — 16:00 — Room P3.10, Mathematics Building

João Paulo Teixeira, *Instituto Superior Técnico*

### O problema de Dirichlet para a equação de Laplace e suas discretizações

### 28/11/2000, 15:00 — 16:00 — Room P3.10, Mathematics Building

Glaucio Terra, *IME, Universidade de São Paulo*

### D'Alembertian versus Vakonomic Mechanics (a brief comparison between the two mechanics)

### 21/11/2000, 15:00 — 16:00 — Room P3.10, Mathematics Building

José Natário, *Instituto Superior Técnico*

### Linking of geodesic spheres in dimension 2