*时间：9月18日8：30-10：00，19日8：30-10：00，21日13：00-14：30
*地点：数学楼126
*主持人：周国栋 教授

*讲座内容简介：
Geometric surface models in the representation theory of finite dimensional algebras have their origin mainly in the theory of cluster algebras and their categorifications. In particular, the representation theory of a class of quadratic monomial algebras, the so-called gentle algebras, is closely governed by surface combinatorics. Indeed, geometric surface models not only encode their module categories but also their derived categories. Furthermore, it has been shown by Haiden-Katzarkov-Kontsevich and Lekili-Polishchuk that, based on the associated surface model, the bounded (perfect) derived category of a homologically smooth graded gentle algebra can be viewed as the partially wrapped Fukaya category of a surface with stops, opening up an interesting interplay between algebra and geometry. In this lecture series we will introduce graded gentle algebras and show how to construct their geometric surface models. We then show how they appear in the context of partially wrapped Fukaya category of surfaces with stops and explore the representation theoretic consequences of the geometric surface combinatorics. In particular, we will see that we can determine silting objects on the surface and this enables us to construct a complete derived invariant which was conjectured and constructed by Lekili and Polishchuk. Part of the content of these lectures is based on joint works with Wen Chang, Sibylle Schroll and Zhengfang Wang.

*主讲人简介：
　　晋海波，2013年本科毕业于华东理工大学，2016年硕士毕业我校，导师周国栋教授，2020年博士毕业于日本名古屋大学，导师国际数学家大会报告人Iyama教授，现为德国科隆大学博士后。主要研究代数表示论，已在Adv.Math.、IMRN、JLMS等一流杂志发表文章多篇。