The ORTHONET Network brings together researchers focused on orthogonal polynomials and special functions, exploring their deep connections with fields such as approximation theory, operator theory, number theory, information theory, Fourier series, numerical analysis, integrable systems and probability. This cross-disciplinary approach extends beyond pure mathematics, finding applications in mathematical physics, science, and technology.
A core goal of ORTHONET is to foster collaboration within the Spanish scientific community, uniting those who specialize in orthogonality and its diverse applications. By doing so, the network seeks to raise the quality and impact of research in this area. Another priority is facilitating the transfer of expertise to other scientific and technological fields where orthogonality offers untapped potential.
The ORTHONET network receives funding through project RED2022-134580-T, as part of the National Program aimed at advancing scientific and technical research and promoting its transfer. This initiative is supported by the 2021-2023 State Plan for Scientific, Technical, and Innovation Research, under the Ministry of Science, Innovation, and Universities.
The Organizing Committee gratefully acknowledges the support of the Faculty of Physical Sciences for providing the infrastructure.
School Programme
- Dates: December 16-19
- Venue: Faculty of Physical Sciences, UCM, Theoretical Physics Department Seminar Room, second floor (capacity: 25 people)
- Professors:
- María Ángeles García Ferrero (Mini-Course: Exceptional orthogonal polynomials and Darboux transformations)
- Andrei Martínez-Finkelshtein (Mini-Course: Logarithmic Potential Theory)
- Walter Van Assche (Mini-Course: Multiple Orthogonal Polynomials—Theory and Applications)
- Schedule:
- First morning session: 9:00 AM – 11:00 AM. Walter Van Assche: Multiple Orthogonal Polynomials—Theory and Applications
- Cofee break: 11:00 AM- 11:30 AM
- Second morning session: 11:30 AM – 1:30 PM. Andrei Martínez-Finkelshtein: Logarithmic Potential Theory
- Lunch: 1:30 PM – 3:00 PM
- Afternoon session: 3:00 PM – 5:00 PM. María Ángeles García Ferrero: Exceptional orthogonal polynomials and Darboux transformations
- Discusion: 5:00 PM- 6:00 PM
- Each professor will teach four two-hour classes. From Monday to Wednesday, between 5:00 PM and 6:00 PM, there will be discussions on open problems or ongoing research with the students.