基础数学系学术报告

题目: Integral Operators on Lattices

报告人: 甘爱萍（江西师范大学）

时间：2023-11-02 16:00-17:00 (周四下午)

地点: 沙河校区E502

摘要: As an abstraction and generalization of the integral operator in analysis, integral operators (known as Rota-Baxter operators of weight zero) on associative algebras and Lie algebras have played an important role in mathematics and physics. This talk introduces the study of integral operators on lattices and the resulting Rota-Baxter lattices (of weight zero). We show that properties of lattices can be characterized in terms of their integral operators.

We also display a large number of integral operators on any given lattice and classify the isomorphism classes of integral operators on some common classes of lattices. We further investigate structures on semirings derived from differential and integral operators on lattices.

报告人简介: 甘爱萍, 江西师范大学副教授，主要研究方向为半群、泛代数、逻辑代数等。

邀请人：杨义川

欢迎大家参加！