Yangian type algebras and double Poisson brackets, Nikita Safonkin

03, 10, 2023 Title: Yangiantype algebras and double Poisson brackets. Abstract: Let A be an arbitrary associative algebra. With the help of Olshanskis centralizer construction one can define a sequence Y1(A), of Yangiantype algebras (they possess a number of properties of the Yangians of series A). I will discuss a link between these Yangiantype algebras and a class of double Poisson brackets on free associative algebras. The talk is based on the joint paper with Grigori Olshanski