报告题目：A geometric realization for weighted projective lines of type (p,q)

报告人：陈健敏 厦门大学

时间：2022年11月18日（星期五）14：00-15：00

腾讯会议：716-2421-6752

会议密码：2022

摘要：Geometric models for categories have been widely studied in recent years. Through these geometric realizations, many algebraic properties of these categories can be studied in geometric terms. In this talk, I will give a geometric model for the category of coherent sheaves over the weighted projective line of type (p,q) in terms of an annulus with marked points on its boundary, prove that the dimension of extension groups of degree 1 between indecomposable coherent sheaves is equal to positive intersection numbers between corresponding curves， and show that there is a bijection between tilting sheaves and the triangulations of the annulus. I will also present some applications. This is a joint work with Shiquan Ruan and Hongxia Zhang.