	EMS LECTURES, 1999 REAL AND COMPLEX DYNAMICS Prof. Mikhail Lyubich May 31- June 4, 1999 Universitat de Barcelona

This is a series of five lectures taught by Professor Mikhail Lyubich, from the State University of New York at Stony Brook, USA. The course is entitled ``Real and Complex Dynamics''. Professor Lyubich has been elected as the ``European Mathematical Society Lecturer'' of 1999. His series of lectures are given in three places in Europe, see http://www.mat.ub.es/EMIS/etc/lecture.html for further information.
This event will be partially supported by EMS and the Vicerectorat de Recerca de la UB.

Abstract
Real and complex one-dimensional dynamics have been in the focus of research for the past 20 years. The ideas of dynamics, statistical physics, geometric function theory and hyperbolic geometry (supported by computer experiments) came together to reveal many rich and fascinating structures. As a result, several central problems have been recently resolved. Among them are the proofs of the real Rigidity Conjecture, the Feigenbaum Universality Conjecture and the Regular or Stochastic Conjecture. Altogether it gives a complete picture of dynamics in the real quadratic family.
The subtitles of the five lectures are

The Mandelbrot set and its little copies
Rigidity Conjectures and Theorems
Puzzle and parapuzzle
Renormalization Conjectures and Theorems
Real quadratic family: A complete picture

And you may also see the corresponding abstracts.

Local Organizer
Núria Fagella
Departament de Matemàtica Aplicada i Anàlisi
Universitat de Barcelona.
(see address below)

Preliminary programme
Professor Lyubich lectures are scheduled for 10:30 - 12:30 every day from Monday to Friday
(with a coffee break 11:15 - 11:45).
The lectures will take place at the Facultat de Matemàtiques         ROOM Number 2
                                                                        Gran Via 585
                                                                    08007 Barcelona

Registration
Registration is free. In order to estimate the number of participants we would apreciate you registering for the event, by sending email to fagella@maia.ub.es.

Grants
A small number of grants might be available to contribute to the housing expenses of foreign students. Applications including a short CV and a recommendation from the supervisor should be sent to the correspondence address below no later than May 15, 1999. Applicants will be notified as soon as possible after this deadline if support can be provided.

Correspondence to
Núria Fagella
Universitat de Barcelona.
Departament de Matemàtica Aplicada i Anàlisi
Gran Via 585
08007 Barcelona
e-mail: fagella@maia.ub.es
Tel: +34 93 402 16 42
Fax: +34 93 402