Integrable Systems seminar: Commuting ordinary differential operators with polynomial coefficients and automorphisms of the first Weyl algebra

Andrey Mironov (Novosibirsk State University, Russian Federation) will present his research in Integrable Systems.

Andrey will discuss rank two commuting ordinary differential operators with polynomial coefficients and the orbit space of the automorphisms group of the first Weyl algebra on such operators.

He proves that for the arbitrary fixed spectral curve of genus one the space of orbits is infinite. He also proves that there are hyperelliptic spectral curves with the infinite spaces of orbits.

Results were obtained with Alexander Zheglov (Moscow State University).

For further information, please contact Professor Allan P Fordy.