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Cluster algebras, quiver representations and triangulated categories
发布时间: 2018-10-07     20:24   【返回上一页】 发布人:刘品


 北京师范大学数学科学学院

 

周五公众报告

 

 

报告题目:Cluster algebras, quiver representations and triangulated categories

 

报告人:刘品副教授(西南交通大学数学系主任)

 

时间地点: 2018年10月12日15:00-16:00,后主楼1124

 

邀请人:刘玉明

 

报告摘要:At the beginning of this century, Fomin and Zelevinsky invented a new class of algebras called cluster algebras motivated by total positivity in algebraic groups and canonical bases in quantum groups. Since their introduction, cluster algebras have found application in a diverse variety of settings which include Poisson geometry, Teichm{\"u}ller theory, tropical geometry, algebraic combinatorics and last not least the representation theory of finite dimensional algebras. In this talk, we give an introduction to some aspects of cluster algebras and their links with the representation theory of quivers and with Calabi-Yau triangulated categories.

 

周五学院公众报告主旨:讲解现代数学中的基本概念、重要结果及其数学思想的起源、方法的创新等,扩展我们的教师和研究生的视野、提高数学修养以及增强学院的学术氛围。邀请各方向的专家用通俗易懂的报告内容、自由互动的讲解方式展现现代数学中重要的基本概念和深刻原理,让听众可以领略到现代数学理论其实是来源于一些大学或研究生阶段就熟知的古典数学中的想法和结论。希望这些报告有助于高年级的本科生、研究生和教师更全面的认识现代数学、享受数学之美。欢迎大家踊跃参与!