报告题目 (Title)：Linear representations of posets - from concrete to abstract
（线性偏序集的表示-从具体到抽象）
报告人 (Speaker)：Henning Krause（德国比勒菲尔德大学）
报告时间 (Time)：2026年3月23日（周一）13:00-15:00
报告地点 (Place)：校本部 GJ303
邀请人(Inviter)：高楠
主办部门：理学院数学系
报告摘要：For any finite totally ordered set and any field, the finite dimensional linear representations form an abelian category. Various classes of subcategories admit natural combinatorial descriptions, and counting them yields familiar integer sequences. Surprisingly, in some cases new integer sequences arise. These examples will be discussed in the first part of my talk. The formulation of such counting problems leads to the construction of a universal category of poset representations which does not depend on the choice of any ring of coefficients. The second part of the talk is devoted to a more abstract perspective, providing a characterization of those length categories that arise as categories of linear poset representations.
