报告题目II：Cluster tilting subcategories in cluster categories

报告人：牛红薇博士

University of Sherbrooke, Canada

时间：2017年6月19日16:00-17:00

地点：1教120

报告摘要：Let C (Q) be the cluster category associated with a quiver without infinite paths Q. If Q is finite, then the cluster tilting subcategories in C (Q) are precisely the rigid subcategories whose non-isomorphic indecomposable objects coincides with the number of vertices of Q. In case Q is of infinite Dynkin type, it is known that cluster tilting subcategories in C (Q) are precisely the maximal rigid subcategories that are functorially finite. In case Q is of type A∞, Holm-Jorgensen and Liu-Paquette have found criterions for a maximal rigid subcategory to be cluster tilting. In this talk, we shall present a complete classification of the maximal rigid subcategories and give a method to construct all of them. In particular, this yields a new construction of all cluster tilting subcategories in C (Q) in case Q is type A∞. A similar construction is also found in case where Q is of type An.

报告人简介：牛红薇博士，2012年9月本科毕业于湖南师范大学，2013年9月起留学于加拿大舍布鲁克大学，攻读硕士和博士学位，研究方向为代数表示理论。