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  6. On q-deformations of Heun equation

Applied Mathematics event

On q-deformations of Heun equation

  • Date: Friday 9 March 2018, 16:00 – 17:00
  • Location: Mathematics Level 8, MALL 1, School of Mathematics
  • Type: Integrable Systems, Seminars, Applied Mathematics
  • Cost: Free
  • Download: Outlook, iCal

Kouichi Takemura, Chuo University, Tokyo. Part of the Integrable Systems seminar series.

The q-Heun equation and its variants were obtained by degenerations of Ruijsenaars-van Diejen operators with one particle.

We investigate local properties of these equations. Especially we characterize the variants of q-Heun equation by using analysis of regular singularities.

We also consider quasi-exact solvability of the q-Heun equation and its variants. Namely we investigate finite-dimensional subspaces which are invariant under the action of the q-Heun operator or the variants of q-Heun operator.

This talk is based on arXiv:1712.09564.