報告題目：A Geometric Model for the Module Category of a Skew-gentle Algebra

主 講 人：周 宇

單 位：清華大學

時 間：12月11日9:00

騰 訊 ID：397 607 231

密 碼：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.

簡 介：

周宇，清華大學丘成桐數學科學中心助理教授，博導。2013年博士畢業于清華大學，隨后在德國比勒菲爾德大學，挪威科技大學做博士后研究。研究興趣為代數表示論，叢理論及其幾何實現。其在（叢）傾斜理論以及叢范疇的曲面實現的一系列工作獲得國內外同行的廣泛關注和認可。相關工作發表在Compos. Math., Adv. Math., Trans. AMS., Int. Math. Res. Not., J. Algebra, J. Pure Appl. Alg. , J. Lond. Math. Soc., J. Topology等數學知名雜志上。