Abstract: We will consider one-point commuting difference operators of rank one. It will be shown that rank-one commuting differential operators can be extended to one-point commuting difference operators depending on a small parameter. The spectral data for such operators are obtained by a natural extension of the classical Krichever's spectral data for commuting differential operators of rank one.
Bio: Andrey Evgenevich Mironov, acting director of the Sobolev Institute of Mathematics of the Siberian Branch of the RAS; corresponding member of RAS, professor of RAS, doctor of sciences (Physics and Mathematics).
Research interests: Integrable Systems, Geometry, Mathematical Physics, Dynamical Systems.
