# Courses

Date: March 25, 2014
Venue:
Anfiteatro 0.05

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

Date: June 25, 2013
Venue:
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
Venue:
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

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

12-15 Setembro. Total de 8 horas.

Date: April 1, 2011
Venue:
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
Venue:
Sala 0.30 - 26/11; 10/12; 17/12 - 14h30

Lecture 1: Representations of surface groups and harmonic maps

Date: October 22, 2010
Venue:
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.

Date: May 10, 2009
Venue:
11, 18 and 19th May 2009 11'30 am room 1.25

Graded manifolds are "manifolds where some coordinates anticommute".
Among other things, they provide a way to encode well-known
matematical structures in a geometric and concise fashion.
I plan to cover
- how they encode $L_{\infty}$ algebras and Lie algebroids