SOCRATES/ERASMUS: HIGHER EDUCATION
Orthogonal Polynomials and Special Functions
Reference: 29242-IC-1-2001-PT-ERASMUS-IP-13
Coordinated by Amílcar Branquinho, Coimbra University, Department of Mathematics
Contacts
  • Professor Franz Peherstorfer (A LINZ01 - JOHANNES KEPLER UNIVERSITÄT LINZ)
  • Professor Walter Van Assche (B LEUVEN01 - KATHOLIEKE UNIVERSITEIT LEUVEN)
  • Professor Gerhard Jank (D AACHEN01 - RHEINISCH WESTFÄLISCHE TECHNISCHE HOCHSCHULE AACHEN)
  • Professor Christean Berg (DK KOBENHA01- KØBENHAVNS UNIVERSITET)
  • Professor Francisco Marcellán Español (E MADRID14 - UNIVERSIDAD CARLOS III DE MADRID)
  • Professor Andrei Martínez Finkelshtein (E ALMERIA01 - UNIVERSIDAD DE ALMERIA)
  • Professor Bernhard Beckermann (F LILLE01 - UNIVERSITE DES SCIENCES ET TECHNOLOGIES DE LILLE)
  • Professor Panayiotis Siafarikas (G PATRA01 - PANEPISTIMIO PATRON)
  • Professor Ana Pilar Foulquié Moreno (P AVEIRO01 - UNIVERSIDADE DE AVEIRO)
  • Professor Semyon Yakubovich (P PORTO02 - UNIVERSIDADE DO PORTO)
Abstract
The proposal concerns three Intensive Courses in mathematics, to be held in 2002, 2003, and 2004 respectively. The unifying topic is "Orthogonal Polynomials and Special Functions" (OP&SF).  Each course would last  2 weeks and would consist in organised lectures, group discussions, round tables, and conferences. The aims of these Intensive Courses are: to bring young researchers to an excellent research level;  promote the interest of young researchers in OP&SF; and enhance international cooperation between research groups. This can be done best by joining the forces of the  european groups involved in this intensive courses made up of 18 Professors and 45 students. The applications of OP&SF are numerous, both within mathematics (e.g. statistics, combinatorics, harmonic analysis, number theory) and other sciences, such as physics, biology, computer science, and chemistry. Over the last two decades the subject of OP&SF has blossomed enormously due to the interactions with these disciplines.
Objectives

The unifying topic of the Intensive Program is Orthogonal Polynomials and Special Functions (OP&SF). In this field, together with its applications, there are several strong research groups located at various universities and institutes in the European Union. In order to keep up the strength of these research groups we need to:

  • bring young researchers to an excellent research level,

  • enhance international cooperation between research groups, especially at the level of young researchers,

  • enhance the functioning of European network in OP&SF,

  • get young researchers interested in OP&SF,

and this can be done best by joining the forces of these research groups.

We mainly aim at young European researchers at the level of PhD-students, that have just started their research career. By organizing European intensive courses in OP&SF we expect to fulfil the above mentioned needs.

At least once every year there is an international conference on OP&SF in Europe or the U.S.A. Quite often the level of these conferences is too high for graduate students or beginning researchers. The intensive courses offer the possibility to present up-to-date information and research to these young researchers, so that their participation in the international conferences will be more efficient.
Project outcomes

The training of young researchers in the intensive courses in OP&SF will be facilitated by the following measures to be taken:

  • lecturers are invited who are known for their pedagogical approach in their lectures and lecture notes, and for their willingness to interact with young researchers,

  • lecture notes will be made available to the participants before the start of the intensive course,

  • lecturers are invited who are recognized internationally as leading experts,

  • housing, meals and other social activities will be the same as much as possible for lecturers, participants and organizors in order to enhance informal discussions.
Activities
Amílcar Branquinho

ajplb@mat.uc.pt