Date: January 10, 2018
Room M031

See attached file.

Date: May 15, 2017
All sessions held in room 1.20/1.21 of the Maths Department at FCUP

The main objective of representation theory is the study of algebras via the study of their modules (i.e. representations). In this mini-course we will consider a combinatorial approach to this theory, using quivers (i.e. oriented graphs) and their representations (given by vector spaces associated to vertices and linear maps associated to arrows).

Date: March 25, 2014
Anfiteatro 0.05

Tema 1.  “Lenguajes” algebraicos en los siglos XVI y XVII

Date: June 25, 2013
Departamento de Matemática, Faculdade de Ciências da Universidade do Porto

Higgs bundles appear in several guises including (a) as solutions to gauge-theoretic equations for connections and sections of a bundle (b) as holomorphic realizations of fundamental group representations or, equivalently, local systems and (c) as special cases of principal bundles with extra structure (principal pairs). Each point of view leads to a construction of a moduli space, i.e.

Date: April 16, 2012
16/04: Room M029; 18/04: Room M007; 20/04: Room M031. Coffee is served before each talk (09h00-09h30).

16/04/2012. Introduction to Theory of Prime Ends

18/04/2012. Applications I: Index of iterates of planar homeomorphisms

20/04/2012. Applications II: Rotation number of planar attractors


Date: January 10, 2012
Edifício da Matemática: Sala 0.31 nos dias 10 e 11; Sala 0.29 no dia 13
Date: September 12, 2011
Sala 0.27

12-15 Setembro. Total de 8 horas.

Date: April 1, 2011
Sala 0.31 - 01/04; 08/04; 15/04 - 14h30

There will be 3 lectures:

- The first is devoted to explaining the main concepts and we will take the opportunity to talk about other statistical properties of dynamical systems, such as Central Limit Theorems, Laws of large numbers or Birkhoff's ergodic theorem, Poincaré's recurrence theorem and Kac's theorem.

Date: November 26, 2010
Sala 0.30 - 26/11; 10/12; 17/12 - 14h30

Lecture 1: Representations of surface groups and harmonic maps

Date: October 22, 2010
Room 0.31, Dep. Matemática. Friday 22/10: 17h-17h50m and Saturday 23: 9h30m-10h20m

In this series of two lectures I will review what we know about moduli space of instanton bundles on projective spaces. We will see that the situation drastically change when the dimension of the projective space increase. At the end of the two talks I will state some interesting open problems.