报告题目：NL bialgebras
报 告 人：Zohreh Ravanpak
所在单位：University of Timișoara
报告时间：2024年9月26日 15:30-16:30
报告地点：吉林大学数学楼第五研讨室
报告摘要: In this talk we introduce the concept of (weak) NL bialgebras. It explores the Poisson-Nijenhuis structures on manifolds within the context of Lie bialgebras. These structures contribute to understanding the interplay between Nijenhuis operators and Lie bialgebras satisfying specific compatibility conditions. They reveal how compatibility conditions facilitate the construction of a hierarchy of compatible Lie bialgebras, both on the original Lie algebra and on its deformed versions through the Nijenhuis structure of any order. We apply our findings to a well-known dynamical system, a particular case of the Euler-top, demonstrating that the underlying algebraic structure of Euler-top dynamics is a weak NL bialgebra. It is based on my recent work: https://arxiv.org/pdf/2404.17708
报告人简介：Zohreh Ravanpak completed her PhD in 2018 in Iran, which included a doctoral internship at WSMCS in Warsaw and a six-month research stay at the University of La Laguna (ULL) in Spain. After that, She was a postdoctoral researcher at the Polish Academy of Sciences in Warsaw and the Max-Planck Institute for Mathematics in Bonn. Currently, She is a young researcher at the University of Timișoara în România. Her research focuses on differential geometry and mathematical physics, particularly in the areas of integrable systems (Hamiltonian and bi-Hamiltonian), Poisson geometry, Lie theory, and Lie groupoids.
