题目：Quivers with potentials for Grassmannian cluster algebras

报告人：常文 教授（陕西师范大学）

Abstract：

We construct quivers with potentials (QPs) for Grassmannian cluster algebras. The mutation of such QP is compatible with the geometric exchange of the Postnikov diagram associated to the quiver. It is also rigid and Jacobian-finite. In fact, we prove that it is the unique rigid QP associated to the Grassmannian cluster algebra up to right-equivalence. Then we consider the Amiot's (generalized) cluster category arising from the QP. It is shown that a kind of auto-equivalence group of the cluster category is isomorphic to the cluster automorphism group of the associated Grassmannian cluster algebra with trivial coefficients. This is a joint work with Jie Zhang.

时间：2019年11月16日（周六）下午17:10-18:00

地点：565net必赢客户端本部教二613教室

联系人：惠昌常/陈红星

主办单位：交叉研究学院

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