Date: October 15, 2008
The course will be held on Wednesdays at 15h, place will be announced.

The aim of the course is to introduce pseudodifferential calculus for Lie groupoids and study the index theory of elliptic such operators.

Date: September 17, 2008
Sala 1.02

Lecture 1: 17 September (Wed): 14h30-15h30 (Room 1.02 )

Bundle Theory:

Date: November 28, 2007
Department of pure Mathematics, Faculty of Science of the University of Porto

We shall review some results in the theory of Hopf algebras and their tensor categories of representations, putting special emphasis in the classification problem in the semisimple case. We shall discuss the construction of extensions and semisimple Hopf algebras arising from matched pairs of finite groups as well as the more recent construction of group theoretical Hopf algebras.

Date: October 15, 2007
Primeira aula no dia 15/10 na sala 0.04, às 14h30. Aulas seguintes no dia 18/10 na sala 1.26, às 14h30 e no dia 19/10 na sala 0.03, às 14h30

Lecture 1 (October 15: 14.30-16.00, Room 0.04) : Moduli and quotients

Date: June 4, 2007
Sala 0.05 do edifício das Matemáticas

Sessão 1 - Segunda-feira, 4 de Junho, 14.30-16.00
Classical variational principle and Hausdorff dimension in conformal dynamics

Sessão 2 - Terça-feira, 5 de Junho, 14.30-16.00
Relativized variational principle and Hausdorff dimension in nonconformal dynamics

Date: September 4, 2006
Anfiteatro 0:31, Departamento de Matemática Aplicada, FCUP


Date: June 7, 2006
Anfiteatro 0:30, Departamento de Matemática Aplicada FCUP

Mini curso:
Approximate Solutions of Second Kind Integral Equations

Sessão 1 - Quarta-feira, 7 de Junho, 11h, anf. 0:30
Sessão 2 - Quinta-feira, 8 de Junho, 14 h, anf. 0:30

Date: April 6, 2006
Anfiteatro 0.05

A numerical semigroup is a subset of ${\mathbb N}$ closed under addition, containing the zero element, and with finite complement in ${\mathbb N}$. Even though the concept is easy to understand, there are many pro\-blems related to numerical semigroups that remain unsolved.

Date: November 11, 2005
sala 0.04 Edifício dos Departamentos de Matemática, FCUP

Os Expoentes de Lyapunov medem a taxa exponencial de aproximação, ou afastamento de pontos quando sujeitos a um sistema dinâmico. Neste curso iremos considerar sistemas dinâmicos conservativos como:

Date: May 16, 2005
Dias 16 e 17 de Maio (2. e 3.feira) das 9:30 - 11:00. Sala 1.21 - Edifício dos Departamentos de Matemática, Rua do Campo Alegre, 687

In order to find an approximate solution of an eigenvalue problem Tφ=λφ for a bounded operator T on a Banach space, one often considers a sequence (T_{n}) of bounded operators which converge to T in some sense and then one solves T_{n}φ_{n}=λ_{n}φ_{n}. When the convergence of (T_{n}) to T is slow, one needs to accelerate the convergence of (λ_{n}) to λ and of φ_{n} to φ.