Ett informationsblad från matematiska institutionen vid Linköpings universitet. Material till Lite Mat lämnas till Bodil Stavklint litemat@mai.liu.se senast torsdagar kl 08.00.

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***LITE MAT***

Ett informationsblad från matematiska institutionen vid Linköpings universitet

v17 2005

Matematiska kollokviet

Onsdagen den 27 april, kl. 13.00-14.00 talar Milagros Izquierdo Barrios om

Ovals of Riemann surfaces

Sammanfattning:

After Klein a real curve can be represented as a symmetric complex curve. A symmetric complex curve is a Riemann surface together with a symmetry of the surface.

A symmetry is an anticonformal involution acting on the surface. The Riemann surface X and the conjugacy class of the symmetry in the automorphism group give us the real (model of the) curve. The fixed point-set of the symmetry consists of a collection of disjoint Jordan curves: the ovals. Each oval of the symmetry correspond to a connected component of the real curve. In this talk we introduce some combinatorial techniques (Fuchsian and NEC groups) to deal with symmetric Riemann surfaces and we present some results.

Lokal: ISY/MAI:s seminarierum Glashuset, ing 25.

Välkomna!
Anders Björn,
Vladimir Kozlov,
Svante Linusson och
Stefan Rauch-Wojciechowski

Graduate course in Potential theory

During the autumn we will give a graduate course in potential theory, 5p.

Brief outline: The main aim is to develop the nonlinear potential theory associated with p-harmonic functions on metric spaces, more or less to the present research frontier.

We will also have a look at the special cases of harmonic and p-harmonic functions on {\bf R}^n, and show some results that are only available in these special cases.

We will start by developing the necessary Sobolev space theory on metric spaces. After that we will start to study p-harmonic functions, their interior and boundary regularity, superharmonic functions and the obstacle problem.

The course will be given as a classical lecture series course on Tuesdays 10-12, starting 30 August or 6 September. In addition there may be some student presentations.

Prerequisites: Graduate courses in integration theory and functional analysis should be enough. Some familiarity with Sobolev spaces will be useful but the necessary theory will be developed.

The course will be given in English if there is some need for it.

If you plan to attend the course and have not already told us or Bengt-Ove, please let us know.

Welcome
Anders and Jana Björn

Mer information om MAI finns på MAIs hemsida.
Material till Lite Mat lämnas till Bodil Stavklint senast torsdagar kl 08.00.
Linköpings universitet, 581 83 Linköping
Tel 013-281000, Fax 013-100746
E-mail: litemat@mai.liu.se