### Bispectrality and superintegrability

- Series
- Analysis Seminar
- Time
- Wednesday, November 1, 2017 - 01:55 for 1 hour (actually 50 minutes)
- Location
- Skiles 005
- Speaker
- Plamen Iliev – Georgia Tech

The bispectral problem concerns the construction and the classification
of operators possessing a symmetry between the space and spectral
variables. Different versions of this problem can be solved using
techniques from integrable systems, algebraic geometry, representation
theory, classical orthogonal polynomials, etc. I will review the problem
and some of these connections and then discuss new results related to
the generic quantum superintegrable system on the sphere.