报告题目：A Geometric Model for the Module Category of a Skew-gentle Algebra

主 讲 人：周 宇

单 位：清华大学

时 间：12月11日9:00

腾 讯 ID：397 607 231

密 码：123456

摘 要：

Any skew-gentle algebra can be realized via the skew-tilting algebra of a partial admissible triangulation of a punctured marked surface. In this geometric model, we show that certain indecomposable modules (including all indecomposable tau-rigid modules) are in bijection with tagged permissible curves, the Auslander-Reiten translation is interpreted via the tagged rotation, and the dimension of (some) Hom equals the intersection number of curves. As an application, we give a classification of support tau-tilting modules by maximal collection of non0crossing (generalized) tagged permissible curves. This is based on joint work with Ping He and Bin Zhu.

简 介：

周宇，清华大学丘成桐数学科学中心助理教授，博导。2013年博士毕业于清华大学，随后在德国比勒菲尔德大学，挪威科技大学做博士后研究。研究兴趣为代数表示论，丛理论及其几何实现。其在（丛）倾斜理论以及丛范畴的曲面实现的一系列工作获得国内外同行的广泛关注和认可。相关工作发表在Compos. Math., Adv. Math., Trans. AMS., Int. Math. Res. Not., J. Algebra, J. Pure Appl. Alg. , J. Lond. Math. Soc., J. Topology等数学知名杂志上。