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Sino-Russian Mathematics Center-JLU Colloquium (2024-035)—Noncommutative Poisson structure and invariants of matrices

Posted: 2024-12-09   Views: 

报告题目:Noncommutative Poisson structure and invariants of matrices

报 告 人:Farkhod Eshmatov

所在单位:New Uzbekistan University

报告时间:2024年12月5日 16:20-18:20

报告地点:吉林大学数学楼第五研讨室



报告摘要:  We introduce a novel approach that employs techniques from noncommutative Poisson geometry to comprehend the algebra of invariants of two~$n\times n$ matrices. We entirely solve the open problem of computing the algebra of invariants of two $4 \times 4$ matrices. As an application, we derive the complete description of the invariant commuting variety of $4 \times 4$ matrices and the fourth Calogero-Moser space. Joint work with X.García-Martínez and R.Turdibaev.


报告人简介: Professor Farkhod Eshmatov is the director of department of Mathematics in New Uzbekistan University, mainly works on noncommutative algebraic geometry and mathematical physics.