Deformation quantisation of the argument shift method n Ugl_n,

10/10/2023 Title: Deformation quantisation of the argument shift method n Ugl_n Abstract: In my talk, based on a joint work with Yasushi Ikeda and Alexander Molev I will explain the main idea of the argument shift method of Mischenko and Fomenko, which gives maximal commutative Poisson subalgebras in the symmetric algebras S(g), where g is a Lie algebra. After that I will describe the recent results concerning the way it can be transferred to the universal enveloping algebras.