Invariant subspaces of nilpotent
operators: Algebra & Applications
报告专家：Professor Markus Schmidmeier (Florida Atlantic University)
报告时间：6月5日（星期四)下午4:00-5:00
报告地点：数学学院西109
报告摘要：Linear operators are ubiquitous in mathematics and its applications, so we will describe the algebraic setting and briefly discuss two situations, in control theory and in topological data analysis, where systems of invariant subspaces appear prominently.
We discuss new numerical invariants for an object X ∈ S(n) , the (Jordan-) level pX , the mean qX and the colevel rX . The support (pX, rX) of X is a point in the triangle T(n) . We will identify regions in T(n) in which indecomposable representations are either sparse or else occur in dense Brauer-Thrall families.
My presentation is a report about recent joint work with Claus Michael Ringel in Bielefeld.
专家简介：Schmidmeier, Markus，现任职于佛罗里达大西洋大学教授，主要研究方向为代数表示论，成果发表在Transactions of the American Mathematical Society、Journal für die Reine und Angewandte Mathematik和Journal of the London Mathematical Society期刊。
邀请人：卢明
