报告题目：Linear representations of posets - from concrete to abstract

报 告 人：Henning Krause（德国Bielefeld大学）

报告时间：2026年3月18日  9:30

报告地点：格物楼数学研究中心报告厅528

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.

报告人简介：

Henning Krause，德国Bielefeld大学W3教授，著名代数学家、Adv. Math.等期刊编委。他在代数的稳定等价、三角范畴的局部化理论以及三角范畴的支撑簇理论等方面做出了重要贡献，相关成果发表在Ann. Math.、Invent. Math.等期刊。