Introduction to state of the art developments in the theory of Orthogonal Polynomials, Special Functions and their Applications with emphasis on harmonic and numerical analysis, number theory, and quantum information.
Orthogonal Polynomials, Special Functions and their Applications (OPSFA) is a topic in mathematics having close ties to many other fields of mathematics, such as coding theory, harmonic analysis, numerical analysis, number theory, as well as ties to applications in mathematical physics, quantum information, signal analysis, etc.
The 2022 summer school is part of a series of OPSFA-summer schools. The topics for the 2022 summer school consist of the relation of OPSFA to modular forms, numerical analysis, harmonic analysis as well as the new developments in matrix orthogonal polynomials, and the application to quantum information and quantum computing. You will study the role of orthogonal polynomials and special functions in the above mentioned topics under the supervision of five leading experts in their fields. During the summer school you will have ample time to interact with the lecturers, the organisers and some visitors, who are all active and leading researchers in the field. Apart from lectures you will take part in tutorials and you will have the opportunity to present your own research in OPSFA. Moreover, you will interact with other participants, ranging from master students and PhD-students to post-docs. This will give you the opportunity to discuss mathematics and to participate in modern day research in OPSFA.
The topics of the summer school have relations to topics in the standard curriculum of a degree program in mathematics and/or physics, such as e.g. complex analysis, group theory, representation theory, analysis, linear algebra. We expect you to be familiar with these topics.
After this course:
- The participant is familiar with hypergeometric functions of several variables and understands the relation to harmonic analysis.
- The participant understands the role of orthogonal polynomials and special functions in quadrature rules and Krylov subspace methods.
- The participant knows what modular functions are, and understands its relation to group theory and complex analysis.
- The participant understands the role of orthogonal polynomials and quantum information, in particular in relation to perfect state transfer
- The participant is familiar with the basic results on matrix orthogonal polynomials, and its relation to matrix differential operators.
For whom is the course designed
The course is aimed at PhD-students working in the fields where orthogonal polynomials and special functions are used and applied, or in the field of orthogonal polynomials and special functions itself. Postdocs in these fields, or postdocs wanting to make themselves acquainted with recent developments in these fields, can also participate. Advanced master students with an interest in these topics, or aspiring for a PhD-track, can participate as well.
You can participate in the summer school when you have a sound background in mathematics, especially complex analysis, analysis, differential equations, group theory, representation theory, numerical analysis, linear algebra, as covered in a standard mathematics programme. Knowledge of the basic theory of orthogonal polynomials is helpful.
Course Fee: €300
For more information click "LINK TO ORIGINAL" below.