曹锡华数学论坛
清华大学博士后（加拿大Universite de Sherbrooke博士）
的学术报告
时间：2012年元月9日（星期一）下午3:00--5:00
地点：闵行校区数学楼102报告厅
报告1： On the cluster category of a marked surface
This is a joint work with Thomas Brustle. We study the cluster category C(S,M) of a marked surface (S,M). We explicitly describe the indecomposable objects in C(S,M) as homotopy classes of curves in (S,M) and one-parameter families related to non-contractible closed curves in (S,M). Moreover, we describe the Auslander–Reiten structure of the category in geometric terms and show that the objects without self-extensions in C(S,M) correspond to curves in (S,M) without self-intersections.
报告2：On the cluster algebra of a marked surface
This is a joint work with Thomas Brustle. We study the cluster algebra A(S,M) of a marked surface (S,M). We introduce Schiffler-Thomas’ expansion formula by an example. Based on the geometric description of the indecomposable objects of the cluster category C(S,M), we show the coincidence of Schiffler-Thomas’ expansion formula and the cluster character defined by Palu.
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