Derived Hall algebras of root categories
报告题目: Derived Hall algebras of root categories
报告专家:陈嘉懿（厦门大学）
报告时间: 2023年3月22日16:00-17:00
报告地点：数学学院东409
报告摘要:
For a finitary hereditary abelian category A, we define a derived Hall algebra
of its root category by counting the triangles and using the octahedral axiom, which is
proved to be isomorphic to the Drinfeld double of Hall algebra of A. When applied to
finite-dimensional nilpotent representations of the Jordan quiver or coherent sheaves over
elliptic curves, these algebras provide categorical realizations of the Drinfeld double of the
ring of symmetric functions and also double affine Hecke algebras.
邀请人：卢明
