Invited by School of Mathematics and Statistics, associate Prof. Wen Chang from School of Mathematics and Statistics,Shaanxi Normal University will give a lecture.

Title: Quivers with potentials for Grassmannian cluster algebras

Time: 9:30 a.m.,Jun.4th, 2021

Conference ID:908 262 583( Tencent Conference), PASSWD: 125914

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 joint work with Jie Zhang.