报告时间：2022/03/21 09:00-12:00

报告地址：腾讯会议：232-384-814

报告一：A geometric model of module categories of skew-gentle algebras

摘要：This is based on my work joint with Ping He and Bin Zhu. Skew-gentle algebras are a class of representation-tame algebras, whose indecomposable modules and morphisms can be described combinatorically. In this talk, each skew-gentle algebra is associated to a partial triangulation of a punctured marked surface. Based on this, each indecomposable module is associated to a tagged curve and each homomorphism space has a basis formed by tagged intersections. As an application, we give a geometric interpretation of support tau-tilting modules over a skew-gentle algebra.

报告人简介：周宇，清华大学助理教授，主要从事代数表示论及其相关领域的研究。在Adv. Math., Compos. Math., Trans. Amer. Math. Soc.,Int. Math. Res. Not. IMRN, J. Lond. Math. Soc.等知名数学杂志上发表论文十余篇。

报告二：generic bases for cluster algebras

摘要：In this talk, we give a brief introduction to the generic bases for cluster algebras. They are generalization of Lusztig’s dual semicanonical bases for universal enveloping algebras. We explain that, for a cluster algebra arising from marked surfaces,  its generic basis consists of the bangle diagrams on the surface.

报告人简介：覃帆，上海交通大学长聘副教授。主要研究代数和表示论，特别是和丛代数（cluster algebra）相关的代数表示论、几何表示论和范畴化。

报告三：Geometric Classification of spaces of totally stable stabiltiy conditions

摘要：We classify non-empty space ToSt D of totally stable stabiltiy conditions on a triangulated category D, where D must be D(Q) for some Dynkin quiver Q. To do so, We construct geometric model for D(Q) and realize ToSt D(Q) as moduli space of certain stable h_Q-gons for Coxeter number h_Q. In the talk, I will focus on the exceptional cases. This is a joint work with Zhang Xiaoting.

报告人简介：邱宇，清华大学数学科学中心教授。研究方向为代数表示论与几何拓扑；着重研究Calabi-Yau/Fukaya范畴，稳定条件空间，辫子群和丛理论等。在Invent. Math., Math. Ann., Adv. Math., Compo. Math.等杂志发表论文十余篇，2016年获得国际代数表示论会议奖。