Yangian-type algebras and double Poisson brackets

Time：2023-09-26 Tue 16:00-18:00

Venue：Venue: A6-1 ZOOM: 873 9209 0711（PW: BIMSA

Organizer：Nicolai Reshetikhin, Andrey Tsiganov, Ivan Sechin

Speaker：Nikita Safonkin University of Reims Champagne-Ardenne & Skolkovo Institute of Science and Technology

Abstract

Let A be an arbitrary associative algebra. With the help of Olshanski’s centralizer construction one can define a sequence Y_1(A), Y_2(A),... of "Yangian-type algebras" (they possess a number of properties of the Yangians of series A). I will discuss a link between these Yangian-type algebras and a class of double Poisson brackets on free associative algebras. The talk is based on the joint paper with Grigori Olshanski arXiv:2308.13325.

DATESeptember 26, 2023

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