Motivations

This workshop which is funded within the framework of the Volkswagen Foundation Funding Initiative "Symposia and Summer Schools", is aimed globally at promoting capacity building in terms of research and training in orthogonal polynomials and applications, discussions and development of new ideas, development and enhancement of networking including south-south cooperation.
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Objectives

The main objective of the workshop is to bring together international experts, academics, PhD and Master students mostly from the Central Africa sub-region, with good representation of women, in order to deliver an initial training and some advanced lectures in the domain of orthogonal polynomials and applications for research and teaching, as well as to promote new international collaborations including south-south collaborations, and enhance research in this domain.

More specifically, the workshop is expected to help to address the following challenges faced in Mathematics in many African universities:

  • insufficient number of qualified lecturers in Mathematics while some of the lecturers don’t have PhD and are blocked and/or isolated in terms of research;
  • only a limited number of academics are really active in research while existing research domains are narrow and limited most often to the previous PhD topic or the research domain of the PhD supervisor;
  • there are many Master and PhD students with very few available qualified lecturers for supervision and also very few interesting and up-to-date PhD topics;
  • weak collaboration with other active Mathematics communities in the word, this is also the case for south-south cooperation.
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Description

The workshop, whose topics include but are not limited to the following four parts,
Part A: Univariate orthogonal polynomials,
Part B: Multivariate orthogonal polynomials,
Part C: Multiple orthogonal polynomials and random matrices,
Part D: Orthogonal polynomials and Painlevé equations,
will mainly be composed of the following activities:

  • Intensive preliminary training sessions on Introduction to Orthogonal Polynomials and Applications on October 5-6, 2018,
  • Plenary talks by renowned experts in the domain to present the state of art in various aspects of orthogonal polynomials and their applications,
  • Tutorials by the same experts to discuss deeply and provide detailed explanations to PhD and Master students, postdocs and junior lecturers,
  • Training sessions to be delivered by experts for the benefit of young scientists to enable a good mastering and proper understanding of the great potential applications of orthogonal polynomials in various domains of science. These junior scientists are expected to take over and popularise this research domain in their home universities,
  • Contributed talks by participants to enable young researchers to present talks/achievements on their research interests in order to receive feedback from experts and also to enable networking,
  • Coffee and lunch breaks combined with social events will enable additional discussions and interactions.

Orthogonal polynomials as research topic, be it univariate or multivariate, have various applications in multidisciplinary settings most of which will be covered in one way or the other in the lectures and training sessions:

  • Univariate orthogonal polynomials in general and classical univariate orthogonal polynomials in particular, happen to have various applications in multidisciplinary domains/topics including: Gauss quadrature; solution of differential, difference and divided-difference equations; digital signal processing; queueing theory, birth and death processes, integrable systems; number theory and combinatorics; evaluation of integrals and the approximation of functions.
  • Connected to the univariate orthogonal polynomials which have been researched constantly and actively by various mathematicians worldwide, are other topics in the domain of orthogonal polynomials such as multivariate orthogonal polynomials, random matrices and orthogonal polynomials, exceptional orthogonal polynomials, as well as orthogonal polynomials and Painlevé equations. These topics which have very important connections and applications in engineering and in other domains in Mathematics and Physics, will be discussed during the workshop by leading international experts who will in addition provide the current state of art in these research domains.
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Co-organisers

Prof. Dr. Wolfram Koepf
Universität Kassel
Fachbereich Mathematik und Naturwissenschaften
Institut für Mathematik
Heinrich-Plett-Str. 40
34132 Kassel
Personal web page

Research Domain: Mathematics
Special Research Interests: Computer Algebra, Orthogonal Polynomials, Special Functions.
Prof. Dr. Mama Foupouagnigni
African Institute for Mathematical Sciences (AIMS)
Centre President
P.O.B. 608
Limbe South West
Cameroon
Personal web page

Research Domain: Mathematics
Special Research Interests: Orthogonal Polynomials, Special Functions of Mathematical Physics.
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