Quantum cluster algebras associated to weighted projective lines
数学专题报告
报告题目(Title)：Quantum cluster algebras associated to weighted projective lines
报告人(Speaker)：杨芳（清华大学）
地点(Place)：后主楼1223报告厅
时间(Time)：2023年9月12日 15:00-15:50
邀请人(Inviter)：肖杰
报告摘要
Fan Qin used quantum Caldero–Chapoton characters of representations of acyclic quivers to categorify the quantum cluster algebras of corresponding quivers. Bernstein–Rupel showed that quantum cluster characters are homomorphisms from Hall algebras to the specialized quantum cluster algebras of acyclic quivers.
In this talk, we will construct such quantum cluster characters from Hall algebras of weighted projective lines to quantum torus, and show that the image of this map admits a quantum cluster structure. When the weighted projective line is of domestic type, the image is precisely the quantum cluster algebras of an acyclic quiver of affine type. This talk is based on a joint work with Fan Xu.
组织者：肖杰，方杰鹏，兰亦心
