双周三学术报告会:Acyclic quantum cluster algebras via Hall algebras of morphisms
报告人:张海诚副教授 时间:2019年12月11日15:00
报告地点:行健楼学术活动室526
摘要:Let Q be a finite acyclic valued quiver. We give a bialgebra structure and an integration map on the Hall algebra associated to the morphism category of projective valued representations of Q. As an application, we realize the principal coefficient quantum cluster algebra A_q(Q) as a sub-quotient of the Hall algebra of morphisms. Moreover, we also recover the quantum Caldero--Chapoton formula, as well as their cluster multiplication formulas.